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Finding the Third Proportional to 47,101.50 and 100,875.38

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Solution

The third proportional to 47,101.50 and 100,875.38 is: 216,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.50 : 100,875.38 = 100,875.38 : x
  2. Step 2: Convert to fraction form
    47,101.50/100,875.38 = 100,875.38/x
  3. Step 3: Cross multiply
    47,101.50x = 100,875.38 × 100,875.38
  4. Step 4: Simplify right side
    47,101.50x = 10,175,841,281.39
  5. Step 5: Solve for x
    x = 10,175,841,281.39/47,101.50
  6. Step 6: Final answer
    x = 216,040.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.