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Finding the Third Proportional to 239,601,752 and 342,396,448

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Solution

The third proportional to 239,601,752 and 342,396,448 is: 489,292,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,601,752 : 342,396,448 = 342,396,448 : x
  2. Step 2: Convert to fraction form
    239,601,752/342,396,448 = 342,396,448/x
  3. Step 3: Cross multiply
    239,601,752x = 342,396,448 × 342,396,448
  4. Step 4: Simplify right side
    239,601,752x = 117,235,327,603,016,704
  5. Step 5: Solve for x
    x = 117,235,327,603,016,704/239,601,752
  6. Step 6: Final answer
    x = 489,292,447.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.