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Finding the Third Proportional to 215,502,912 and 328,634,982

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Solution

The third proportional to 215,502,912 and 328,634,982 is: 501,157,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,502,912 : 328,634,982 = 328,634,982 : x
  2. Step 2: Convert to fraction form
    215,502,912/328,634,982 = 328,634,982/x
  3. Step 3: Cross multiply
    215,502,912x = 328,634,982 × 328,634,982
  4. Step 4: Simplify right side
    215,502,912x = 108,000,951,394,140,320
  5. Step 5: Solve for x
    x = 108,000,951,394,140,320/215,502,912
  6. Step 6: Final answer
    x = 501,157,735.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.