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Finding the Third Proportional to 86,264.44 and 130,951.13

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Solution

The third proportional to 86,264.44 and 130,951.13 is: 198,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264.44 : 130,951.13 = 130,951.13 : x
  2. Step 2: Convert to fraction form
    86,264.44/130,951.13 = 130,951.13/x
  3. Step 3: Cross multiply
    86,264.44x = 130,951.13 × 130,951.13
  4. Step 4: Simplify right side
    86,264.44x = 17,148,197,138.77
  5. Step 5: Solve for x
    x = 17,148,197,138.77/86,264.44
  6. Step 6: Final answer
    x = 198,786.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.