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Finding the Third Proportional to 82,027,221.75 and 119,926,663.88

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Solution

The third proportional to 82,027,221.75 and 119,926,663.88 is: 175,336,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,221.75 : 119,926,663.88 = 119,926,663.88 : x
  2. Step 2: Convert to fraction form
    82,027,221.75/119,926,663.88 = 119,926,663.88/x
  3. Step 3: Cross multiply
    82,027,221.75x = 119,926,663.88 × 119,926,663.88
  4. Step 4: Simplify right side
    82,027,221.75x = 14,382,404,708,187,230
  5. Step 5: Solve for x
    x = 14,382,404,708,187,230/82,027,221.75
  6. Step 6: Final answer
    x = 175,336,972.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.