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Finding the Third Proportional to 110,709 and 171,895.88

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Solution

The third proportional to 110,709 and 171,895.88 is: 266,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,709 : 171,895.88 = 171,895.88 : x
  2. Step 2: Convert to fraction form
    110,709/171,895.88 = 171,895.88/x
  3. Step 3: Cross multiply
    110,709x = 171,895.88 × 171,895.88
  4. Step 4: Simplify right side
    110,709x = 29,548,191,842.02
  5. Step 5: Solve for x
    x = 29,548,191,842.02/110,709
  6. Step 6: Final answer
    x = 266,899.64

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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.