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Finding the Third Proportional to 44,732,976 and 97,839,408

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Solution

The third proportional to 44,732,976 and 97,839,408 is: 213,993,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,732,976 : 97,839,408 = 97,839,408 : x
  2. Step 2: Convert to fraction form
    44,732,976/97,839,408 = 97,839,408/x
  3. Step 3: Cross multiply
    44,732,976x = 97,839,408 × 97,839,408
  4. Step 4: Simplify right side
    44,732,976x = 9,572,549,757,790,464
  5. Step 5: Solve for x
    x = 9,572,549,757,790,464/44,732,976
  6. Step 6: Final answer
    x = 213,993,134.68

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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.