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Finding the Third Proportional to 135,199,747 and 291,951,686

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Solution

The third proportional to 135,199,747 and 291,951,686 is: 630,443,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199,747 : 291,951,686 = 291,951,686 : x
  2. Step 2: Convert to fraction form
    135,199,747/291,951,686 = 291,951,686/x
  3. Step 3: Cross multiply
    135,199,747x = 291,951,686 × 291,951,686
  4. Step 4: Simplify right side
    135,199,747x = 85,235,786,958,242,592
  5. Step 5: Solve for x
    x = 85,235,786,958,242,592/135,199,747
  6. Step 6: Final answer
    x = 630,443,390.98

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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.