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Finding the Third Proportional to 105,334.80 and 167,536.16

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Solution

The third proportional to 105,334.80 and 167,536.16 is: 266,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,334.80 : 167,536.16 = 167,536.16 : x
  2. Step 2: Convert to fraction form
    105,334.80/167,536.16 = 167,536.16/x
  3. Step 3: Cross multiply
    105,334.80x = 167,536.16 × 167,536.16
  4. Step 4: Simplify right side
    105,334.80x = 28,068,364,959.90
  5. Step 5: Solve for x
    x = 28,068,364,959.90/105,334.80
  6. Step 6: Final answer
    x = 266,468.10

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.