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Finding the Third Proportional to 47,746.13 and 99,412.88

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Solution

The third proportional to 47,746.13 and 99,412.88 is: 206,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,746.13 : 99,412.88 = 99,412.88 : x
  2. Step 2: Convert to fraction form
    47,746.13/99,412.88 = 99,412.88/x
  3. Step 3: Cross multiply
    47,746.13x = 99,412.88 × 99,412.88
  4. Step 4: Simplify right side
    47,746.13x = 9,882,919,715.77
  5. Step 5: Solve for x
    x = 9,882,919,715.77/47,746.13
  6. Step 6: Final answer
    x = 206,988.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.