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Finding the Third Proportional to 47,642.63 and 101,612.25

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Solution

The third proportional to 47,642.63 and 101,612.25 is: 216,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642.63 : 101,612.25 = 101,612.25 : x
  2. Step 2: Convert to fraction form
    47,642.63/101,612.25 = 101,612.25/x
  3. Step 3: Cross multiply
    47,642.63x = 101,612.25 × 101,612.25
  4. Step 4: Simplify right side
    47,642.63x = 10,325,049,350.06
  5. Step 5: Solve for x
    x = 10,325,049,350.06/47,642.63
  6. Step 6: Final answer
    x = 216,718.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.