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Finding the Third Proportional to 91,594 and 193,028

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Solution

The third proportional to 91,594 and 193,028 is: 406,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,594 : 193,028 = 193,028 : x
  2. Step 2: Convert to fraction form
    91,594/193,028 = 193,028/x
  3. Step 3: Cross multiply
    91,594x = 193,028 × 193,028
  4. Step 4: Simplify right side
    91,594x = 37,259,808,784
  5. Step 5: Solve for x
    x = 37,259,808,784/91,594
  6. Step 6: Final answer
    x = 406,793.12

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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.