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Finding the Third Proportional to 147,706.88 and 229,147.31

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Solution

The third proportional to 147,706.88 and 229,147.31 is: 355,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706.88 : 229,147.31 = 229,147.31 : x
  2. Step 2: Convert to fraction form
    147,706.88/229,147.31 = 229,147.31/x
  3. Step 3: Cross multiply
    147,706.88x = 229,147.31 × 229,147.31
  4. Step 4: Simplify right side
    147,706.88x = 52,508,490,825.97
  5. Step 5: Solve for x
    x = 52,508,490,825.97/147,706.88
  6. Step 6: Final answer
    x = 355,491.18

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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.