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Finding the Third Proportional to 44,348 and 97,008

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Solution

The third proportional to 44,348 and 97,008 is: 212,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,348 : 97,008 = 97,008 : x
  2. Step 2: Convert to fraction form
    44,348/97,008 = 97,008/x
  3. Step 3: Cross multiply
    44,348x = 97,008 × 97,008
  4. Step 4: Simplify right side
    44,348x = 9,410,552,064
  5. Step 5: Solve for x
    x = 9,410,552,064/44,348
  6. Step 6: Final answer
    x = 212,197.89

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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.