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Finding the Third Proportional to 101,323.41 and 158,944.78

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Solution

The third proportional to 101,323.41 and 158,944.78 is: 249,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,323.41 : 158,944.78 = 158,944.78 : x
  2. Step 2: Convert to fraction form
    101,323.41/158,944.78 = 158,944.78/x
  3. Step 3: Cross multiply
    101,323.41x = 158,944.78 × 158,944.78
  4. Step 4: Simplify right side
    101,323.41x = 25,263,443,486.61
  5. Step 5: Solve for x
    x = 25,263,443,486.61/101,323.41
  6. Step 6: Final answer
    x = 249,334.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.