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Finding the Third Proportional to 66,474 and 99,484.88

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Solution

The third proportional to 66,474 and 99,484.88 is: 148,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 99,484.88 = 99,484.88 : x
  2. Step 2: Convert to fraction form
    66,474/99,484.88 = 99,484.88/x
  3. Step 3: Cross multiply
    66,474x = 99,484.88 × 99,484.88
  4. Step 4: Simplify right side
    66,474x = 9,897,240,353.77
  5. Step 5: Solve for x
    x = 9,897,240,353.77/66,474
  6. Step 6: Final answer
    x = 148,888.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.