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Finding the Third Proportional to 214,814,716 and 463,858,184

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Solution

The third proportional to 214,814,716 and 463,858,184 is: 1,001,627,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814,716 : 463,858,184 = 463,858,184 : x
  2. Step 2: Convert to fraction form
    214,814,716/463,858,184 = 463,858,184/x
  3. Step 3: Cross multiply
    214,814,716x = 463,858,184 × 463,858,184
  4. Step 4: Simplify right side
    214,814,716x = 215,164,414,863,777,856
  5. Step 5: Solve for x
    x = 215,164,414,863,777,856/214,814,716
  6. Step 6: Final answer
    x = 1,001,627,909.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.