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Finding the Third Proportional to 44,339 and 97,301

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Solution

The third proportional to 44,339 and 97,301 is: 213,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,339 : 97,301 = 97,301 : x
  2. Step 2: Convert to fraction form
    44,339/97,301 = 97,301/x
  3. Step 3: Cross multiply
    44,339x = 97,301 × 97,301
  4. Step 4: Simplify right side
    44,339x = 9,467,484,601
  5. Step 5: Solve for x
    x = 9,467,484,601/44,339
  6. Step 6: Final answer
    x = 213,524.99

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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.