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Finding the Third Proportional to 44,630.16 and 69,149.53

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Solution

The third proportional to 44,630.16 and 69,149.53 is: 107,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,630.16 : 69,149.53 = 69,149.53 : x
  2. Step 2: Convert to fraction form
    44,630.16/69,149.53 = 69,149.53/x
  3. Step 3: Cross multiply
    44,630.16x = 69,149.53 × 69,149.53
  4. Step 4: Simplify right side
    44,630.16x = 4,781,657,672.09
  5. Step 5: Solve for x
    x = 4,781,657,672.09/44,630.16
  6. Step 6: Final answer
    x = 107,139.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.