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Finding the Third Proportional to 85,011.08 and 185,566.10

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Solution

The third proportional to 85,011.08 and 185,566.10 is: 405,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,011.08 : 185,566.10 = 185,566.10 : x
  2. Step 2: Convert to fraction form
    85,011.08/185,566.10 = 185,566.10/x
  3. Step 3: Cross multiply
    85,011.08x = 185,566.10 × 185,566.10
  4. Step 4: Simplify right side
    85,011.08x = 34,434,775,874.50
  5. Step 5: Solve for x
    x = 34,434,775,874.50/85,011.08
  6. Step 6: Final answer
    x = 405,062.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.