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Finding the Third Proportional to 77,718.38 and 167,686.88

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Solution

The third proportional to 77,718.38 and 167,686.88 is: 361,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718.38 : 167,686.88 = 167,686.88 : x
  2. Step 2: Convert to fraction form
    77,718.38/167,686.88 = 167,686.88/x
  3. Step 3: Cross multiply
    77,718.38x = 167,686.88 × 167,686.88
  4. Step 4: Simplify right side
    77,718.38x = 28,118,888,047.27
  5. Step 5: Solve for x
    x = 28,118,888,047.27/77,718.38
  6. Step 6: Final answer
    x = 361,804.89

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