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Finding the Third Proportional to 85,182,656 and 185,290,192

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Solution

The third proportional to 85,182,656 and 185,290,192 is: 403,045,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182,656 : 185,290,192 = 185,290,192 : x
  2. Step 2: Convert to fraction form
    85,182,656/185,290,192 = 185,290,192/x
  3. Step 3: Cross multiply
    85,182,656x = 185,290,192 × 185,290,192
  4. Step 4: Simplify right side
    85,182,656x = 34,332,455,251,396,864
  5. Step 5: Solve for x
    x = 34,332,455,251,396,864/85,182,656
  6. Step 6: Final answer
    x = 403,045,136.93

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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.