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Finding the Third Proportional to 79,134 and 186,805.50

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Solution

The third proportional to 79,134 and 186,805.50 is: 440,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,134 : 186,805.50 = 186,805.50 : x
  2. Step 2: Convert to fraction form
    79,134/186,805.50 = 186,805.50/x
  3. Step 3: Cross multiply
    79,134x = 186,805.50 × 186,805.50
  4. Step 4: Simplify right side
    79,134x = 34,896,294,830.25
  5. Step 5: Solve for x
    x = 34,896,294,830.25/79,134
  6. Step 6: Final answer
    x = 440,977.26

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