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Finding the Third Proportional to 129,344.34 and 193,220.02

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Solution

The third proportional to 129,344.34 and 193,220.02 is: 288,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,344.34 : 193,220.02 = 193,220.02 : x
  2. Step 2: Convert to fraction form
    129,344.34/193,220.02 = 193,220.02/x
  3. Step 3: Cross multiply
    129,344.34x = 193,220.02 × 193,220.02
  4. Step 4: Simplify right side
    129,344.34x = 37,333,974,438.13
  5. Step 5: Solve for x
    x = 37,333,974,438.13/129,344.34
  6. Step 6: Final answer
    x = 288,640.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.