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Finding the Third Proportional to 94,711.50 and 208,102.50

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Solution

The third proportional to 94,711.50 and 208,102.50 is: 457,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,711.50 : 208,102.50 = 208,102.50 : x
  2. Step 2: Convert to fraction form
    94,711.50/208,102.50 = 208,102.50/x
  3. Step 3: Cross multiply
    94,711.50x = 208,102.50 × 208,102.50
  4. Step 4: Simplify right side
    94,711.50x = 43,306,650,506.25
  5. Step 5: Solve for x
    x = 43,306,650,506.25/94,711.50
  6. Step 6: Final answer
    x = 457,248.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.