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Finding the Third Proportional to 48,915,383 and 106,620,320

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Solution

The third proportional to 48,915,383 and 106,620,320 is: 232,399,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,915,383 : 106,620,320 = 106,620,320 : x
  2. Step 2: Convert to fraction form
    48,915,383/106,620,320 = 106,620,320/x
  3. Step 3: Cross multiply
    48,915,383x = 106,620,320 × 106,620,320
  4. Step 4: Simplify right side
    48,915,383x = 11,367,892,636,902,400
  5. Step 5: Solve for x
    x = 11,367,892,636,902,400/48,915,383
  6. Step 6: Final answer
    x = 232,399,133.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.