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Finding the Third Proportional to 49,148,456.91 and 106,475,200.31

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Solution

The third proportional to 49,148,456.91 and 106,475,200.31 is: 230,667,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,456.91 : 106,475,200.31 = 106,475,200.31 : x
  2. Step 2: Convert to fraction form
    49,148,456.91/106,475,200.31 = 106,475,200.31/x
  3. Step 3: Cross multiply
    49,148,456.91x = 106,475,200.31 × 106,475,200.31
  4. Step 4: Simplify right side
    49,148,456.91x = 11,336,968,281,587,000
  5. Step 5: Solve for x
    x = 11,336,968,281,587,000/49,148,456.91
  6. Step 6: Final answer
    x = 230,667,837.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.