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Finding the Third Proportional to 110,836.97 and 171,973.41

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Solution

The third proportional to 110,836.97 and 171,973.41 is: 266,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,836.97 : 171,973.41 = 171,973.41 : x
  2. Step 2: Convert to fraction form
    110,836.97/171,973.41 = 171,973.41/x
  3. Step 3: Cross multiply
    110,836.97x = 171,973.41 × 171,973.41
  4. Step 4: Simplify right side
    110,836.97x = 29,574,852,457.23
  5. Step 5: Solve for x
    x = 29,574,852,457.23/110,836.97
  6. Step 6: Final answer
    x = 266,832.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.