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Finding the Third Proportional to 89,369,624 and 192,847,327

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Solution

The third proportional to 89,369,624 and 192,847,327 is: 416,137,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369,624 : 192,847,327 = 192,847,327 : x
  2. Step 2: Convert to fraction form
    89,369,624/192,847,327 = 192,847,327/x
  3. Step 3: Cross multiply
    89,369,624x = 192,847,327 × 192,847,327
  4. Step 4: Simplify right side
    89,369,624x = 37,190,091,531,044,928
  5. Step 5: Solve for x
    x = 37,190,091,531,044,928/89,369,624
  6. Step 6: Final answer
    x = 416,137,943.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.