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Finding the Third Proportional to 125,007,644.25 and 274,218,817.50

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Solution

The third proportional to 125,007,644.25 and 274,218,817.50 is: 601,530,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,007,644.25 : 274,218,817.50 = 274,218,817.50 : x
  2. Step 2: Convert to fraction form
    125,007,644.25/274,218,817.50 = 274,218,817.50/x
  3. Step 3: Cross multiply
    125,007,644.25x = 274,218,817.50 × 274,218,817.50
  4. Step 4: Simplify right side
    125,007,644.25x = 75,195,959,871,098,304
  5. Step 5: Solve for x
    x = 75,195,959,871,098,304/125,007,644.25
  6. Step 6: Final answer
    x = 601,530,892.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.