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Finding the Third Proportional to 45,675 and 99,629

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Solution

The third proportional to 45,675 and 99,629 is: 217,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,675 : 99,629 = 99,629 : x
  2. Step 2: Convert to fraction form
    45,675/99,629 = 99,629/x
  3. Step 3: Cross multiply
    45,675x = 99,629 × 99,629
  4. Step 4: Simplify right side
    45,675x = 9,925,937,641
  5. Step 5: Solve for x
    x = 9,925,937,641/45,675
  6. Step 6: Final answer
    x = 217,316.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.