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Finding the Third Proportional to 47,953.13 and 100,878.19

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Solution

The third proportional to 47,953.13 and 100,878.19 is: 212,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953.13 : 100,878.19 = 100,878.19 : x
  2. Step 2: Convert to fraction form
    47,953.13/100,878.19 = 100,878.19/x
  3. Step 3: Cross multiply
    47,953.13x = 100,878.19 × 100,878.19
  4. Step 4: Simplify right side
    47,953.13x = 10,176,408,713.29
  5. Step 5: Solve for x
    x = 10,176,408,713.29/47,953.13
  6. Step 6: Final answer
    x = 212,215.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.