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Finding the Third Proportional to 44,426 and 97,600

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Solution

The third proportional to 44,426 and 97,600 is: 214,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,426 : 97,600 = 97,600 : x
  2. Step 2: Convert to fraction form
    44,426/97,600 = 97,600/x
  3. Step 3: Cross multiply
    44,426x = 97,600 × 97,600
  4. Step 4: Simplify right side
    44,426x = 9,525,760,000
  5. Step 5: Solve for x
    x = 9,525,760,000/44,426
  6. Step 6: Final answer
    x = 214,418.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.