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Finding the Third Proportional to 185,152,584 and 252,186,471

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Solution

The third proportional to 185,152,584 and 252,186,471 is: 343,489,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,152,584 : 252,186,471 = 252,186,471 : x
  2. Step 2: Convert to fraction form
    185,152,584/252,186,471 = 252,186,471/x
  3. Step 3: Cross multiply
    185,152,584x = 252,186,471 × 252,186,471
  4. Step 4: Simplify right side
    185,152,584x = 63,598,016,155,433,840
  5. Step 5: Solve for x
    x = 63,598,016,155,433,840/185,152,584
  6. Step 6: Final answer
    x = 343,489,757.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.