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Finding the Third Proportional to 79,986.38 and 175,038.19

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Solution

The third proportional to 79,986.38 and 175,038.19 is: 383,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,986.38 : 175,038.19 = 175,038.19 : x
  2. Step 2: Convert to fraction form
    79,986.38/175,038.19 = 175,038.19/x
  3. Step 3: Cross multiply
    79,986.38x = 175,038.19 × 175,038.19
  4. Step 4: Simplify right side
    79,986.38x = 30,638,367,083.29
  5. Step 5: Solve for x
    x = 30,638,367,083.29/79,986.38
  6. Step 6: Final answer
    x = 383,044.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.