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Finding the Third Proportional to 85,864.50 and 186,029.63

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Solution

The third proportional to 85,864.50 and 186,029.63 is: 403,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864.50 : 186,029.63 = 186,029.63 : x
  2. Step 2: Convert to fraction form
    85,864.50/186,029.63 = 186,029.63/x
  3. Step 3: Cross multiply
    85,864.50x = 186,029.63 × 186,029.63
  4. Step 4: Simplify right side
    85,864.50x = 34,607,021,377.64
  5. Step 5: Solve for x
    x = 34,607,021,377.64/85,864.50
  6. Step 6: Final answer
    x = 403,042.25

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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.