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Finding the Third Proportional to 44,402 and 97,554

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Solution

The third proportional to 44,402 and 97,554 is: 214,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,402 : 97,554 = 97,554 : x
  2. Step 2: Convert to fraction form
    44,402/97,554 = 97,554/x
  3. Step 3: Cross multiply
    44,402x = 97,554 × 97,554
  4. Step 4: Simplify right side
    44,402x = 9,516,782,916
  5. Step 5: Solve for x
    x = 9,516,782,916/44,402
  6. Step 6: Final answer
    x = 214,332.30

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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.