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Finding the Third Proportional to 47,150 and 99,147

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Solution

The third proportional to 47,150 and 99,147 is: 208,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,150 : 99,147 = 99,147 : x
  2. Step 2: Convert to fraction form
    47,150/99,147 = 99,147/x
  3. Step 3: Cross multiply
    47,150x = 99,147 × 99,147
  4. Step 4: Simplify right side
    47,150x = 9,830,127,609
  5. Step 5: Solve for x
    x = 9,830,127,609/47,150
  6. Step 6: Final answer
    x = 208,486.27

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