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Finding the Third Proportional to 47,068.59 and 103,466.11

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Solution

The third proportional to 47,068.59 and 103,466.11 is: 227,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,068.59 : 103,466.11 = 103,466.11 : x
  2. Step 2: Convert to fraction form
    47,068.59/103,466.11 = 103,466.11/x
  3. Step 3: Cross multiply
    47,068.59x = 103,466.11 × 103,466.11
  4. Step 4: Simplify right side
    47,068.59x = 10,705,235,789.20
  5. Step 5: Solve for x
    x = 10,705,235,789.20/47,068.59
  6. Step 6: Final answer
    x = 227,439.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.