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Finding the Third Proportional to 47,443.50 and 99,271.13

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Solution

The third proportional to 47,443.50 and 99,271.13 is: 207,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,443.50 : 99,271.13 = 99,271.13 : x
  2. Step 2: Convert to fraction form
    47,443.50/99,271.13 = 99,271.13/x
  3. Step 3: Cross multiply
    47,443.50x = 99,271.13 × 99,271.13
  4. Step 4: Simplify right side
    47,443.50x = 9,854,756,258.77
  5. Step 5: Solve for x
    x = 9,854,756,258.77/47,443.50
  6. Step 6: Final answer
    x = 207,715.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.