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Finding the Third Proportional to 91,117.50 and 191,448

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Solution

The third proportional to 91,117.50 and 191,448 is: 402,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,117.50 : 191,448 = 191,448 : x
  2. Step 2: Convert to fraction form
    91,117.50/191,448 = 191,448/x
  3. Step 3: Cross multiply
    91,117.50x = 191,448 × 191,448
  4. Step 4: Simplify right side
    91,117.50x = 36,652,336,704
  5. Step 5: Solve for x
    x = 36,652,336,704/91,117.50
  6. Step 6: Final answer
    x = 402,253.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.