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Finding the Third Proportional to 152,817,331 and 238,306,109

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Solution

The third proportional to 152,817,331 and 238,306,109 is: 371,618,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,817,331 : 238,306,109 = 238,306,109 : x
  2. Step 2: Convert to fraction form
    152,817,331/238,306,109 = 238,306,109/x
  3. Step 3: Cross multiply
    152,817,331x = 238,306,109 × 238,306,109
  4. Step 4: Simplify right side
    152,817,331x = 56,789,801,586,719,880
  5. Step 5: Solve for x
    x = 56,789,801,586,719,880/152,817,331
  6. Step 6: Final answer
    x = 371,618,855.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.