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Finding the Third Proportional to 48,207.66 and 105,758.16

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Solution

The third proportional to 48,207.66 and 105,758.16 is: 232,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,207.66 : 105,758.16 = 105,758.16 : x
  2. Step 2: Convert to fraction form
    48,207.66/105,758.16 = 105,758.16/x
  3. Step 3: Cross multiply
    48,207.66x = 105,758.16 × 105,758.16
  4. Step 4: Simplify right side
    48,207.66x = 11,184,787,613.40
  5. Step 5: Solve for x
    x = 11,184,787,613.40/48,207.66
  6. Step 6: Final answer
    x = 232,012.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.