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Finding the Third Proportional to 108,222.75 and 147,430.13

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Solution

The third proportional to 108,222.75 and 147,430.13 is: 200,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,222.75 : 147,430.13 = 147,430.13 : x
  2. Step 2: Convert to fraction form
    108,222.75/147,430.13 = 147,430.13/x
  3. Step 3: Cross multiply
    108,222.75x = 147,430.13 × 147,430.13
  4. Step 4: Simplify right side
    108,222.75x = 21,735,641,757.52
  5. Step 5: Solve for x
    x = 21,735,641,757.52/108,222.75
  6. Step 6: Final answer
    x = 200,841.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.