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Finding the Third Proportional to 47,680.31 and 69,810.19

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Solution

The third proportional to 47,680.31 and 69,810.19 is: 102,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680.31 : 69,810.19 = 69,810.19 : x
  2. Step 2: Convert to fraction form
    47,680.31/69,810.19 = 69,810.19/x
  3. Step 3: Cross multiply
    47,680.31x = 69,810.19 × 69,810.19
  4. Step 4: Simplify right side
    47,680.31x = 4,873,462,278.79
  5. Step 5: Solve for x
    x = 4,873,462,278.79/47,680.31
  6. Step 6: Final answer
    x = 102,211.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.