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Finding the Third Proportional to 163,524,132 and 251,348,413

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Solution

The third proportional to 163,524,132 and 251,348,413 is: 386,340,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,524,132 : 251,348,413 = 251,348,413 : x
  2. Step 2: Convert to fraction form
    163,524,132/251,348,413 = 251,348,413/x
  3. Step 3: Cross multiply
    163,524,132x = 251,348,413 × 251,348,413
  4. Step 4: Simplify right side
    163,524,132x = 63,176,024,717,618,568
  5. Step 5: Solve for x
    x = 63,176,024,717,618,568/163,524,132
  6. Step 6: Final answer
    x = 386,340,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.