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Finding the Third Proportional to 99,367 and 147,700

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Solution

The third proportional to 99,367 and 147,700 is: 219,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,367 : 147,700 = 147,700 : x
  2. Step 2: Convert to fraction form
    99,367/147,700 = 147,700/x
  3. Step 3: Cross multiply
    99,367x = 147,700 × 147,700
  4. Step 4: Simplify right side
    99,367x = 21,815,290,000
  5. Step 5: Solve for x
    x = 21,815,290,000/99,367
  6. Step 6: Final answer
    x = 219,542.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.