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Finding the Third Proportional to 91,347.38 and 199,294.88

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Solution

The third proportional to 91,347.38 and 199,294.88 is: 434,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,347.38 : 199,294.88 = 199,294.88 : x
  2. Step 2: Convert to fraction form
    91,347.38/199,294.88 = 199,294.88/x
  3. Step 3: Cross multiply
    91,347.38x = 199,294.88 × 199,294.88
  4. Step 4: Simplify right side
    91,347.38x = 39,718,447,201.27
  5. Step 5: Solve for x
    x = 39,718,447,201.27/91,347.38
  6. Step 6: Final answer
    x = 434,806.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.