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Finding the Third Proportional to 47,154 and 99,186

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Solution

The third proportional to 47,154 and 99,186 is: 208,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,154 : 99,186 = 99,186 : x
  2. Step 2: Convert to fraction form
    47,154/99,186 = 99,186/x
  3. Step 3: Cross multiply
    47,154x = 99,186 × 99,186
  4. Step 4: Simplify right side
    47,154x = 9,837,862,596
  5. Step 5: Solve for x
    x = 9,837,862,596/47,154
  6. Step 6: Final answer
    x = 208,632.62

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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.