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Finding the Third Proportional to 91,720.69 and 193,389.19

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Solution

The third proportional to 91,720.69 and 193,389.19 is: 407,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,720.69 : 193,389.19 = 193,389.19 : x
  2. Step 2: Convert to fraction form
    91,720.69/193,389.19 = 193,389.19/x
  3. Step 3: Cross multiply
    91,720.69x = 193,389.19 × 193,389.19
  4. Step 4: Simplify right side
    91,720.69x = 37,399,377,841.91
  5. Step 5: Solve for x
    x = 37,399,377,841.91/91,720.69
  6. Step 6: Final answer
    x = 407,752.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.