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Finding the Third Proportional to 45,487,513.50 and 107,380,587.75

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Solution

The third proportional to 45,487,513.50 and 107,380,587.75 is: 253,489,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,487,513.50 : 107,380,587.75 = 107,380,587.75 : x
  2. Step 2: Convert to fraction form
    45,487,513.50/107,380,587.75 = 107,380,587.75/x
  3. Step 3: Cross multiply
    45,487,513.50x = 107,380,587.75 × 107,380,587.75
  4. Step 4: Simplify right side
    45,487,513.50x = 11,530,590,625,535,450
  5. Step 5: Solve for x
    x = 11,530,590,625,535,450/45,487,513.50
  6. Step 6: Final answer
    x = 253,489,138.85

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.