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Finding the Third Proportional to 214,814,074 and 318,193,386

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Solution

The third proportional to 214,814,074 and 318,193,386 is: 471,324,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814,074 : 318,193,386 = 318,193,386 : x
  2. Step 2: Convert to fraction form
    214,814,074/318,193,386 = 318,193,386/x
  3. Step 3: Cross multiply
    214,814,074x = 318,193,386 × 318,193,386
  4. Step 4: Simplify right side
    214,814,074x = 101,247,030,894,144,992
  5. Step 5: Solve for x
    x = 101,247,030,894,144,992/214,814,074
  6. Step 6: Final answer
    x = 471,324,010.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.