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Finding the Third Proportional to 68,223,015 and 148,399,407

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Solution

The third proportional to 68,223,015 and 148,399,407 is: 322,799,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223,015 : 148,399,407 = 148,399,407 : x
  2. Step 2: Convert to fraction form
    68,223,015/148,399,407 = 148,399,407/x
  3. Step 3: Cross multiply
    68,223,015x = 148,399,407 × 148,399,407
  4. Step 4: Simplify right side
    68,223,015x = 22,022,383,997,951,648
  5. Step 5: Solve for x
    x = 22,022,383,997,951,648/68,223,015
  6. Step 6: Final answer
    x = 322,799,923.13

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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.