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Finding the Third Proportional to 85,852.41 and 186,475.71

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Solution

The third proportional to 85,852.41 and 186,475.71 is: 405,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,852.41 : 186,475.71 = 186,475.71 : x
  2. Step 2: Convert to fraction form
    85,852.41/186,475.71 = 186,475.71/x
  3. Step 3: Cross multiply
    85,852.41x = 186,475.71 × 186,475.71
  4. Step 4: Simplify right side
    85,852.41x = 34,773,190,769.65
  5. Step 5: Solve for x
    x = 34,773,190,769.65/85,852.41
  6. Step 6: Final answer
    x = 405,034.55

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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.