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Finding the Third Proportional to 86,565.38 and 130,418.44

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Solution

The third proportional to 86,565.38 and 130,418.44 is: 196,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.38 : 130,418.44 = 130,418.44 : x
  2. Step 2: Convert to fraction form
    86,565.38/130,418.44 = 130,418.44/x
  3. Step 3: Cross multiply
    86,565.38x = 130,418.44 × 130,418.44
  4. Step 4: Simplify right side
    86,565.38x = 17,008,968,839.94
  5. Step 5: Solve for x
    x = 17,008,968,839.94/86,565.38
  6. Step 6: Final answer
    x = 196,486.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.