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Finding the Third Proportional to 125,294,776 and 269,783,688

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Solution

The third proportional to 125,294,776 and 269,783,688 is: 580,896,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294,776 : 269,783,688 = 269,783,688 : x
  2. Step 2: Convert to fraction form
    125,294,776/269,783,688 = 269,783,688/x
  3. Step 3: Cross multiply
    125,294,776x = 269,783,688 × 269,783,688
  4. Step 4: Simplify right side
    125,294,776x = 72,783,238,310,881,344
  5. Step 5: Solve for x
    x = 72,783,238,310,881,344/125,294,776
  6. Step 6: Final answer
    x = 580,896,032.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.