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Finding the Third Proportional to 77,775.19 and 167,373.84

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Solution

The third proportional to 77,775.19 and 167,373.84 is: 360,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,775.19 : 167,373.84 = 167,373.84 : x
  2. Step 2: Convert to fraction form
    77,775.19/167,373.84 = 167,373.84/x
  3. Step 3: Cross multiply
    77,775.19x = 167,373.84 × 167,373.84
  4. Step 4: Simplify right side
    77,775.19x = 28,014,003,571.65
  5. Step 5: Solve for x
    x = 28,014,003,571.65/77,775.19
  6. Step 6: Final answer
    x = 360,192.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.