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Finding the Third Proportional to 51,853,162.50 and 111,745,251

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Solution

The third proportional to 51,853,162.50 and 111,745,251 is: 240,814,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853,162.50 : 111,745,251 = 111,745,251 : x
  2. Step 2: Convert to fraction form
    51,853,162.50/111,745,251 = 111,745,251/x
  3. Step 3: Cross multiply
    51,853,162.50x = 111,745,251 × 111,745,251
  4. Step 4: Simplify right side
    51,853,162.50x = 12,487,001,121,053,000
  5. Step 5: Solve for x
    x = 12,487,001,121,053,000/51,853,162.50
  6. Step 6: Final answer
    x = 240,814,648.89

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