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Finding the Third Proportional to 83,030.06 and 176,934.38

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Solution

The third proportional to 83,030.06 and 176,934.38 is: 377,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.06 : 176,934.38 = 176,934.38 : x
  2. Step 2: Convert to fraction form
    83,030.06/176,934.38 = 176,934.38/x
  3. Step 3: Cross multiply
    83,030.06x = 176,934.38 × 176,934.38
  4. Step 4: Simplify right side
    83,030.06x = 31,305,773,056.64
  5. Step 5: Solve for x
    x = 31,305,773,056.64/83,030.06
  6. Step 6: Final answer
    x = 377,041.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.