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Finding the Third Proportional to 43,147.69 and 92,543.13

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Solution

The third proportional to 43,147.69 and 92,543.13 is: 198,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,147.69 : 92,543.13 = 92,543.13 : x
  2. Step 2: Convert to fraction form
    43,147.69/92,543.13 = 92,543.13/x
  3. Step 3: Cross multiply
    43,147.69x = 92,543.13 × 92,543.13
  4. Step 4: Simplify right side
    43,147.69x = 8,564,231,430.75
  5. Step 5: Solve for x
    x = 8,564,231,430.75/43,147.69
  6. Step 6: Final answer
    x = 198,486.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.