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Finding the Third Proportional to 50,281.50 and 99,294

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Solution

The third proportional to 50,281.50 and 99,294 is: 196,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,281.50 : 99,294 = 99,294 : x
  2. Step 2: Convert to fraction form
    50,281.50/99,294 = 99,294/x
  3. Step 3: Cross multiply
    50,281.50x = 99,294 × 99,294
  4. Step 4: Simplify right side
    50,281.50x = 9,859,298,436
  5. Step 5: Solve for x
    x = 9,859,298,436/50,281.50
  6. Step 6: Final answer
    x = 196,082.03

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.