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Finding the Third Proportional to 98,565.75 and 154,416.38

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Solution

The third proportional to 98,565.75 and 154,416.38 is: 241,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,565.75 : 154,416.38 = 154,416.38 : x
  2. Step 2: Convert to fraction form
    98,565.75/154,416.38 = 154,416.38/x
  3. Step 3: Cross multiply
    98,565.75x = 154,416.38 × 154,416.38
  4. Step 4: Simplify right side
    98,565.75x = 23,844,416,868.14
  5. Step 5: Solve for x
    x = 23,844,416,868.14/98,565.75
  6. Step 6: Final answer
    x = 241,913.82

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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.