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Finding the Third Proportional to 45,899.16 and 70,168.78

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Solution

The third proportional to 45,899.16 and 70,168.78 is: 107,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,899.16 : 70,168.78 = 70,168.78 : x
  2. Step 2: Convert to fraction form
    45,899.16/70,168.78 = 70,168.78/x
  3. Step 3: Cross multiply
    45,899.16x = 70,168.78 × 70,168.78
  4. Step 4: Simplify right side
    45,899.16x = 4,923,657,862.11
  5. Step 5: Solve for x
    x = 4,923,657,862.11/45,899.16
  6. Step 6: Final answer
    x = 107,271.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.