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Finding the Third Proportional to 286,157,204 and 619,853,532

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Solution

The third proportional to 286,157,204 and 619,853,532 is: 1,342,682,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,157,204 : 619,853,532 = 619,853,532 : x
  2. Step 2: Convert to fraction form
    286,157,204/619,853,532 = 619,853,532/x
  3. Step 3: Cross multiply
    286,157,204x = 619,853,532 × 619,853,532
  4. Step 4: Simplify right side
    286,157,204x = 384,218,401,132,875,008
  5. Step 5: Solve for x
    x = 384,218,401,132,875,008/286,157,204
  6. Step 6: Final answer
    x = 1,342,682,958.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.