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Finding the Third Proportional to 48,497,890 and 105,067,982

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Solution

The third proportional to 48,497,890 and 105,067,982 is: 227,623,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,497,890 : 105,067,982 = 105,067,982 : x
  2. Step 2: Convert to fraction form
    48,497,890/105,067,982 = 105,067,982/x
  3. Step 3: Cross multiply
    48,497,890x = 105,067,982 × 105,067,982
  4. Step 4: Simplify right side
    48,497,890x = 11,039,280,841,552,324
  5. Step 5: Solve for x
    x = 11,039,280,841,552,324/48,497,890
  6. Step 6: Final answer
    x = 227,623,940.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.