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Finding the Third Proportional to 43,762.13 and 95,444.81

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Solution

The third proportional to 43,762.13 and 95,444.81 is: 208,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762.13 : 95,444.81 = 95,444.81 : x
  2. Step 2: Convert to fraction form
    43,762.13/95,444.81 = 95,444.81/x
  3. Step 3: Cross multiply
    43,762.13x = 95,444.81 × 95,444.81
  4. Step 4: Simplify right side
    43,762.13x = 9,109,712,233.16
  5. Step 5: Solve for x
    x = 9,109,712,233.16/43,762.13
  6. Step 6: Final answer
    x = 208,164.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.