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Finding the Third Proportional to 68,649.09 and 147,831.56

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Solution

The third proportional to 68,649.09 and 147,831.56 is: 318,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,649.09 : 147,831.56 = 147,831.56 : x
  2. Step 2: Convert to fraction form
    68,649.09/147,831.56 = 147,831.56/x
  3. Step 3: Cross multiply
    68,649.09x = 147,831.56 × 147,831.56
  4. Step 4: Simplify right side
    68,649.09x = 21,854,170,871.19
  5. Step 5: Solve for x
    x = 21,854,170,871.19/68,649.09
  6. Step 6: Final answer
    x = 318,346.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.