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Finding the Third Proportional to 47,547.84 and 100,400.48

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Solution

The third proportional to 47,547.84 and 100,400.48 is: 212,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547.84 : 100,400.48 = 100,400.48 : x
  2. Step 2: Convert to fraction form
    47,547.84/100,400.48 = 100,400.48/x
  3. Step 3: Cross multiply
    47,547.84x = 100,400.48 × 100,400.48
  4. Step 4: Simplify right side
    47,547.84x = 10,080,257,262.73
  5. Step 5: Solve for x
    x = 10,080,257,262.73/47,547.84
  6. Step 6: Final answer
    x = 212,002.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.