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Finding the Third Proportional to 225,530,919 and 358,867,757.25

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Solution

The third proportional to 225,530,919 and 358,867,757.25 is: 571,035,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,530,919 : 358,867,757.25 = 358,867,757.25 : x
  2. Step 2: Convert to fraction form
    225,530,919/358,867,757.25 = 358,867,757.25/x
  3. Step 3: Cross multiply
    225,530,919x = 358,867,757.25 × 358,867,757.25
  4. Step 4: Simplify right side
    225,530,919x = 128,786,067,193,644,928
  5. Step 5: Solve for x
    x = 128,786,067,193,644,928/225,530,919
  6. Step 6: Final answer
    x = 571,035,083.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.