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Finding the Third Proportional to 47,118.38 and 102,547.13

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Solution

The third proportional to 47,118.38 and 102,547.13 is: 223,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,118.38 : 102,547.13 = 102,547.13 : x
  2. Step 2: Convert to fraction form
    47,118.38/102,547.13 = 102,547.13/x
  3. Step 3: Cross multiply
    47,118.38x = 102,547.13 × 102,547.13
  4. Step 4: Simplify right side
    47,118.38x = 10,515,912,845.77
  5. Step 5: Solve for x
    x = 10,515,912,845.77/47,118.38
  6. Step 6: Final answer
    x = 223,180.72

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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.