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Finding the Third Proportional to 79,029 and 186,551.44

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Solution

The third proportional to 79,029 and 186,551.44 is: 440,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,029 : 186,551.44 = 186,551.44 : x
  2. Step 2: Convert to fraction form
    79,029/186,551.44 = 186,551.44/x
  3. Step 3: Cross multiply
    79,029x = 186,551.44 × 186,551.44
  4. Step 4: Simplify right side
    79,029x = 34,801,438,833.32
  5. Step 5: Solve for x
    x = 34,801,438,833.32/79,029
  6. Step 6: Final answer
    x = 440,362.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.