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Finding the Third Proportional to 86,118.19 and 182,660.06

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Solution

The third proportional to 86,118.19 and 182,660.06 is: 387,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,118.19 : 182,660.06 = 182,660.06 : x
  2. Step 2: Convert to fraction form
    86,118.19/182,660.06 = 182,660.06/x
  3. Step 3: Cross multiply
    86,118.19x = 182,660.06 × 182,660.06
  4. Step 4: Simplify right side
    86,118.19x = 33,364,698,432.50
  5. Step 5: Solve for x
    x = 33,364,698,432.50/86,118.19
  6. Step 6: Final answer
    x = 387,429.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.