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Finding the Third Proportional to 96,919,384 and 207,462,276

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Solution

The third proportional to 96,919,384 and 207,462,276 is: 444,086,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,919,384 : 207,462,276 = 207,462,276 : x
  2. Step 2: Convert to fraction form
    96,919,384/207,462,276 = 207,462,276/x
  3. Step 3: Cross multiply
    96,919,384x = 207,462,276 × 207,462,276
  4. Step 4: Simplify right side
    96,919,384x = 43,040,595,963,100,176
  5. Step 5: Solve for x
    x = 43,040,595,963,100,176/96,919,384
  6. Step 6: Final answer
    x = 444,086,561.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.