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Finding the Third Proportional to 217,344,558 and 325,155,158

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Solution

The third proportional to 217,344,558 and 325,155,158 is: 486,443,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,344,558 : 325,155,158 = 325,155,158 : x
  2. Step 2: Convert to fraction form
    217,344,558/325,155,158 = 325,155,158/x
  3. Step 3: Cross multiply
    217,344,558x = 325,155,158 × 325,155,158
  4. Step 4: Simplify right side
    217,344,558x = 105,725,876,774,004,960
  5. Step 5: Solve for x
    x = 105,725,876,774,004,960/217,344,558
  6. Step 6: Final answer
    x = 486,443,634.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.