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Finding the Third Proportional to 227,652,684,061.50 and 506,205,259,113

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Solution

The third proportional to 227,652,684,061.50 and 506,205,259,113 is: 1,125,590,789,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652,684,061.50 : 506,205,259,113 = 506,205,259,113 : x
  2. Step 2: Convert to fraction form
    227,652,684,061.50/506,205,259,113 = 506,205,259,113/x
  3. Step 3: Cross multiply
    227,652,684,061.50x = 506,205,259,113 × 506,205,259,113
  4. Step 4: Simplify right side
    227,652,684,061.50x = 256,243,764,353,659,480,047,616
  5. Step 5: Solve for x
    x = 256,243,764,353,659,480,047,616/227,652,684,061.50
  6. Step 6: Final answer
    x = 1,125,590,789,364.19

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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.