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Finding the Third Proportional to 76,888.19 and 166,412.31

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Solution

The third proportional to 76,888.19 and 166,412.31 is: 360,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888.19 : 166,412.31 = 166,412.31 : x
  2. Step 2: Convert to fraction form
    76,888.19/166,412.31 = 166,412.31/x
  3. Step 3: Cross multiply
    76,888.19x = 166,412.31 × 166,412.31
  4. Step 4: Simplify right side
    76,888.19x = 27,693,057,751.60
  5. Step 5: Solve for x
    x = 27,693,057,751.60/76,888.19
  6. Step 6: Final answer
    x = 360,173.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.