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Finding the Third Proportional to 91,813.50 and 197,617.50

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Solution

The third proportional to 91,813.50 and 197,617.50 is: 425,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,813.50 : 197,617.50 = 197,617.50 : x
  2. Step 2: Convert to fraction form
    91,813.50/197,617.50 = 197,617.50/x
  3. Step 3: Cross multiply
    91,813.50x = 197,617.50 × 197,617.50
  4. Step 4: Simplify right side
    91,813.50x = 39,052,676,306.25
  5. Step 5: Solve for x
    x = 39,052,676,306.25/91,813.50
  6. Step 6: Final answer
    x = 425,347.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.