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Finding the Third Proportional to 227,652,688,998 and 506,205,268,867

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Solution

The third proportional to 227,652,688,998 and 506,205,268,867 is: 1,125,590,808,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652,688,998 : 506,205,268,867 = 506,205,268,867 : x
  2. Step 2: Convert to fraction form
    227,652,688,998/506,205,268,867 = 506,205,268,867/x
  3. Step 3: Cross multiply
    227,652,688,998x = 506,205,268,867 × 506,205,268,867
  4. Step 4: Simplify right side
    227,652,688,998x = 256,243,774,228,711,771,996,160
  5. Step 5: Solve for x
    x = 256,243,774,228,711,771,996,160/227,652,688,998
  6. Step 6: Final answer
    x = 1,125,590,808,334.19

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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.