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Finding the Third Proportional to 49,408,805.25 and 107,323,059.38

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Solution

The third proportional to 49,408,805.25 and 107,323,059.38 is: 233,121,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,805.25 : 107,323,059.38 = 107,323,059.38 : x
  2. Step 2: Convert to fraction form
    49,408,805.25/107,323,059.38 = 107,323,059.38/x
  3. Step 3: Cross multiply
    49,408,805.25x = 107,323,059.38 × 107,323,059.38
  4. Step 4: Simplify right side
    49,408,805.25x = 11,518,239,073,609,776
  5. Step 5: Solve for x
    x = 11,518,239,073,609,776/49,408,805.25
  6. Step 6: Final answer
    x = 233,121,181.85

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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.