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Finding the Third Proportional to 47,116.50 and 102,702.75

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Solution

The third proportional to 47,116.50 and 102,702.75 is: 223,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116.50 : 102,702.75 = 102,702.75 : x
  2. Step 2: Convert to fraction form
    47,116.50/102,702.75 = 102,702.75/x
  3. Step 3: Cross multiply
    47,116.50x = 102,702.75 × 102,702.75
  4. Step 4: Simplify right side
    47,116.50x = 10,547,854,857.56
  5. Step 5: Solve for x
    x = 10,547,854,857.56/47,116.50
  6. Step 6: Final answer
    x = 223,867.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.