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Finding the Third Proportional to 91,999.13 and 197,299.13

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Solution

The third proportional to 91,999.13 and 197,299.13 is: 423,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,999.13 : 197,299.13 = 197,299.13 : x
  2. Step 2: Convert to fraction form
    91,999.13/197,299.13 = 197,299.13/x
  3. Step 3: Cross multiply
    91,999.13x = 197,299.13 × 197,299.13
  4. Step 4: Simplify right side
    91,999.13x = 38,926,944,725.77
  5. Step 5: Solve for x
    x = 38,926,944,725.77/91,999.13
  6. Step 6: Final answer
    x = 423,122.99

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