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Finding the Third Proportional to 100,977.89 and 158,437.90

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Solution

The third proportional to 100,977.89 and 158,437.90 is: 248,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977.89 : 158,437.90 = 158,437.90 : x
  2. Step 2: Convert to fraction form
    100,977.89/158,437.90 = 158,437.90/x
  3. Step 3: Cross multiply
    100,977.89x = 158,437.90 × 158,437.90
  4. Step 4: Simplify right side
    100,977.89x = 25,102,567,661.29
  5. Step 5: Solve for x
    x = 25,102,567,661.29/100,977.89
  6. Step 6: Final answer
    x = 248,594.69

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Why These Related Problems?

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