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Finding the Third Proportional to 129,801.66 and 281,746.69

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Solution

The third proportional to 129,801.66 and 281,746.69 is: 611,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,801.66 : 281,746.69 = 281,746.69 : x
  2. Step 2: Convert to fraction form
    129,801.66/281,746.69 = 281,746.69/x
  3. Step 3: Cross multiply
    129,801.66x = 281,746.69 × 281,746.69
  4. Step 4: Simplify right side
    129,801.66x = 79,381,195,917.22
  5. Step 5: Solve for x
    x = 79,381,195,917.22/129,801.66
  6. Step 6: Final answer
    x = 611,557.65

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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.