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Finding the Third Proportional to 48,707.16 and 101,241.56

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Solution

The third proportional to 48,707.16 and 101,241.56 is: 210,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,707.16 : 101,241.56 = 101,241.56 : x
  2. Step 2: Convert to fraction form
    48,707.16/101,241.56 = 101,241.56/x
  3. Step 3: Cross multiply
    48,707.16x = 101,241.56 × 101,241.56
  4. Step 4: Simplify right side
    48,707.16x = 10,249,853,977.44
  5. Step 5: Solve for x
    x = 10,249,853,977.44/48,707.16
  6. Step 6: Final answer
    x = 210,438.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.