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Finding the Third Proportional to 146,368,471 and 195,131,448

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Solution

The third proportional to 146,368,471 and 195,131,448 is: 260,139,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368,471 : 195,131,448 = 195,131,448 : x
  2. Step 2: Convert to fraction form
    146,368,471/195,131,448 = 195,131,448/x
  3. Step 3: Cross multiply
    146,368,471x = 195,131,448 × 195,131,448
  4. Step 4: Simplify right side
    146,368,471x = 38,076,281,998,576,704
  5. Step 5: Solve for x
    x = 38,076,281,998,576,704/146,368,471
  6. Step 6: Final answer
    x = 260,139,917.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.