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Finding the Third Proportional to 108,831.09 and 164,889.74

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Solution

The third proportional to 108,831.09 and 164,889.74 is: 249,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,831.09 : 164,889.74 = 164,889.74 : x
  2. Step 2: Convert to fraction form
    108,831.09/164,889.74 = 164,889.74/x
  3. Step 3: Cross multiply
    108,831.09x = 164,889.74 × 164,889.74
  4. Step 4: Simplify right side
    108,831.09x = 27,188,625,790.46
  5. Step 5: Solve for x
    x = 27,188,625,790.46/108,831.09
  6. Step 6: Final answer
    x = 249,824.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.