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Finding the Third Proportional to 88,462.13 and 193,741.88

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Solution

The third proportional to 88,462.13 and 193,741.88 is: 424,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,462.13 : 193,741.88 = 193,741.88 : x
  2. Step 2: Convert to fraction form
    88,462.13/193,741.88 = 193,741.88/x
  3. Step 3: Cross multiply
    88,462.13x = 193,741.88 × 193,741.88
  4. Step 4: Simplify right side
    88,462.13x = 37,535,914,128.52
  5. Step 5: Solve for x
    x = 37,535,914,128.52/88,462.13
  6. Step 6: Final answer
    x = 424,316.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.