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Finding the Third Proportional to 85,699.13 and 186,140.25

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Solution

The third proportional to 85,699.13 and 186,140.25 is: 404,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,699.13 : 186,140.25 = 186,140.25 : x
  2. Step 2: Convert to fraction form
    85,699.13/186,140.25 = 186,140.25/x
  3. Step 3: Cross multiply
    85,699.13x = 186,140.25 × 186,140.25
  4. Step 4: Simplify right side
    85,699.13x = 34,648,192,670.06
  5. Step 5: Solve for x
    x = 34,648,192,670.06/85,699.13
  6. Step 6: Final answer
    x = 404,300.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.