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Finding the Third Proportional to 71,169,975 and 155,391,966

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Solution

The third proportional to 71,169,975 and 155,391,966 is: 339,281,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169,975 : 155,391,966 = 155,391,966 : x
  2. Step 2: Convert to fraction form
    71,169,975/155,391,966 = 155,391,966/x
  3. Step 3: Cross multiply
    71,169,975x = 155,391,966 × 155,391,966
  4. Step 4: Simplify right side
    71,169,975x = 24,146,663,097,345,156
  5. Step 5: Solve for x
    x = 24,146,663,097,345,156/71,169,975
  6. Step 6: Final answer
    x = 339,281,601.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.