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Finding the Third Proportional to 151,422,143 and 328,687,165

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Solution

The third proportional to 151,422,143 and 328,687,165 is: 713,470,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422,143 : 328,687,165 = 328,687,165 : x
  2. Step 2: Convert to fraction form
    151,422,143/328,687,165 = 328,687,165/x
  3. Step 3: Cross multiply
    151,422,143x = 328,687,165 × 328,687,165
  4. Step 4: Simplify right side
    151,422,143x = 108,035,252,435,737,232
  5. Step 5: Solve for x
    x = 108,035,252,435,737,232/151,422,143
  6. Step 6: Final answer
    x = 713,470,634.45

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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.