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Finding the Third Proportional to 47,602.69 and 101,766.38

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Solution

The third proportional to 47,602.69 and 101,766.38 is: 217,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,602.69 : 101,766.38 = 101,766.38 : x
  2. Step 2: Convert to fraction form
    47,602.69/101,766.38 = 101,766.38/x
  3. Step 3: Cross multiply
    47,602.69x = 101,766.38 × 101,766.38
  4. Step 4: Simplify right side
    47,602.69x = 10,356,395,080.64
  5. Step 5: Solve for x
    x = 10,356,395,080.64/47,602.69
  6. Step 6: Final answer
    x = 217,559.04

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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.