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Finding the Third Proportional to 44,912 and 97,820

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Solution

The third proportional to 44,912 and 97,820 is: 213,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,912 : 97,820 = 97,820 : x
  2. Step 2: Convert to fraction form
    44,912/97,820 = 97,820/x
  3. Step 3: Cross multiply
    44,912x = 97,820 × 97,820
  4. Step 4: Simplify right side
    44,912x = 9,568,752,400
  5. Step 5: Solve for x
    x = 9,568,752,400/44,912
  6. Step 6: Final answer
    x = 213,055.58

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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.