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Finding the Third Proportional to 151,422,146 and 328,687,171

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Solution

The third proportional to 151,422,146 and 328,687,171 is: 713,470,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422,146 : 328,687,171 = 328,687,171 : x
  2. Step 2: Convert to fraction form
    151,422,146/328,687,171 = 328,687,171/x
  3. Step 3: Cross multiply
    151,422,146x = 328,687,171 × 328,687,171
  4. Step 4: Simplify right side
    151,422,146x = 108,035,256,379,983,248
  5. Step 5: Solve for x
    x = 108,035,256,379,983,248/151,422,146
  6. Step 6: Final answer
    x = 713,470,646.36

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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.