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Finding the Third Proportional to 84,613.08 and 185,831.44

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Solution

The third proportional to 84,613.08 and 185,831.44 is: 408,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,613.08 : 185,831.44 = 185,831.44 : x
  2. Step 2: Convert to fraction form
    84,613.08/185,831.44 = 185,831.44/x
  3. Step 3: Cross multiply
    84,613.08x = 185,831.44 × 185,831.44
  4. Step 4: Simplify right side
    84,613.08x = 34,533,323,163.32
  5. Step 5: Solve for x
    x = 34,533,323,163.32/84,613.08
  6. Step 6: Final answer
    x = 408,132.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.