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Finding the Third Proportional to 227,652,688,995.89 and 506,205,268,862.48

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Solution

The third proportional to 227,652,688,995.89 and 506,205,268,862.48 is: 1,125,590,808,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652,688,995.89 : 506,205,268,862.48 = 506,205,268,862.48 : x
  2. Step 2: Convert to fraction form
    227,652,688,995.89/506,205,268,862.48 = 506,205,268,862.48/x
  3. Step 3: Cross multiply
    227,652,688,995.89x = 506,205,268,862.48 × 506,205,268,862.48
  4. Step 4: Simplify right side
    227,652,688,995.89x = 256,243,774,224,135,652,114,432
  5. Step 5: Solve for x
    x = 256,243,774,224,135,652,114,432/227,652,688,995.89
  6. Step 6: Final answer
    x = 1,125,590,808,324.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.