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Finding the Third Proportional to 45,608 and 99,842

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Solution

The third proportional to 45,608 and 99,842 is: 218,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,608 : 99,842 = 99,842 : x
  2. Step 2: Convert to fraction form
    45,608/99,842 = 99,842/x
  3. Step 3: Cross multiply
    45,608x = 99,842 × 99,842
  4. Step 4: Simplify right side
    45,608x = 9,968,424,964
  5. Step 5: Solve for x
    x = 9,968,424,964/45,608
  6. Step 6: Final answer
    x = 218,567.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.