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Finding the Third Proportional to 82,565,796 and 115,493,700

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Solution

The third proportional to 82,565,796 and 115,493,700 is: 161,553,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,565,796 : 115,493,700 = 115,493,700 : x
  2. Step 2: Convert to fraction form
    82,565,796/115,493,700 = 115,493,700/x
  3. Step 3: Cross multiply
    82,565,796x = 115,493,700 × 115,493,700
  4. Step 4: Simplify right side
    82,565,796x = 13,338,794,739,690,000
  5. Step 5: Solve for x
    x = 13,338,794,739,690,000/82,565,796
  6. Step 6: Final answer
    x = 161,553,517.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.