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Finding the Third Proportional to 98,471,598 and 227,943,930

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Solution

The third proportional to 98,471,598 and 227,943,930 is: 527,648,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471,598 : 227,943,930 = 227,943,930 : x
  2. Step 2: Convert to fraction form
    98,471,598/227,943,930 = 227,943,930/x
  3. Step 3: Cross multiply
    98,471,598x = 227,943,930 × 227,943,930
  4. Step 4: Simplify right side
    98,471,598x = 51,958,435,223,844,896
  5. Step 5: Solve for x
    x = 51,958,435,223,844,896/98,471,598
  6. Step 6: Final answer
    x = 527,648,949.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.