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Finding the Third Proportional to 96,007,491 and 207,026,982

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Solution

The third proportional to 96,007,491 and 207,026,982 is: 446,425,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,007,491 : 207,026,982 = 207,026,982 : x
  2. Step 2: Convert to fraction form
    96,007,491/207,026,982 = 207,026,982/x
  3. Step 3: Cross multiply
    96,007,491x = 207,026,982 × 207,026,982
  4. Step 4: Simplify right side
    96,007,491x = 42,860,171,276,028,320
  5. Step 5: Solve for x
    x = 42,860,171,276,028,320/96,007,491
  6. Step 6: Final answer
    x = 446,425,282.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.