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Finding the Third Proportional to 77,655.59 and 160,266.09

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Solution

The third proportional to 77,655.59 and 160,266.09 is: 330,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,655.59 : 160,266.09 = 160,266.09 : x
  2. Step 2: Convert to fraction form
    77,655.59/160,266.09 = 160,266.09/x
  3. Step 3: Cross multiply
    77,655.59x = 160,266.09 × 160,266.09
  4. Step 4: Simplify right side
    77,655.59x = 25,685,220,805.88
  5. Step 5: Solve for x
    x = 25,685,220,805.88/77,655.59
  6. Step 6: Final answer
    x = 330,758.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.