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Finding the Third Proportional to 83,030.06 and 179,187.19

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Solution

The third proportional to 83,030.06 and 179,187.19 is: 386,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.06 : 179,187.19 = 179,187.19 : x
  2. Step 2: Convert to fraction form
    83,030.06/179,187.19 = 179,187.19/x
  3. Step 3: Cross multiply
    83,030.06x = 179,187.19 × 179,187.19
  4. Step 4: Simplify right side
    83,030.06x = 32,108,048,164.16
  5. Step 5: Solve for x
    x = 32,108,048,164.16/83,030.06
  6. Step 6: Final answer
    x = 386,703.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.