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Finding the Third Proportional to 158,253,951 and 337,411,086

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Solution

The third proportional to 158,253,951 and 337,411,086 is: 719,389,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,253,951 : 337,411,086 = 337,411,086 : x
  2. Step 2: Convert to fraction form
    158,253,951/337,411,086 = 337,411,086/x
  3. Step 3: Cross multiply
    158,253,951x = 337,411,086 × 337,411,086
  4. Step 4: Simplify right side
    158,253,951x = 113,846,240,955,699,392
  5. Step 5: Solve for x
    x = 113,846,240,955,699,392/158,253,951
  6. Step 6: Final answer
    x = 719,389,564.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.