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Finding the Third Proportional to 218,033,910 and 327,210,329.25

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Solution

The third proportional to 218,033,910 and 327,210,329.25 is: 491,054,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,033,910 : 327,210,329.25 = 327,210,329.25 : x
  2. Step 2: Convert to fraction form
    218,033,910/327,210,329.25 = 327,210,329.25/x
  3. Step 3: Cross multiply
    218,033,910x = 327,210,329.25 × 327,210,329.25
  4. Step 4: Simplify right side
    218,033,910x = 107,066,599,567,893,408
  5. Step 5: Solve for x
    x = 107,066,599,567,893,408/218,033,910
  6. Step 6: Final answer
    x = 491,054,806.88

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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.