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Finding the Third Proportional to 141,134,536 and 302,689,832

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Solution

The third proportional to 141,134,536 and 302,689,832 is: 649,175,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,134,536 : 302,689,832 = 302,689,832 : x
  2. Step 2: Convert to fraction form
    141,134,536/302,689,832 = 302,689,832/x
  3. Step 3: Cross multiply
    141,134,536x = 302,689,832 × 302,689,832
  4. Step 4: Simplify right side
    141,134,536x = 91,621,134,396,188,224
  5. Step 5: Solve for x
    x = 91,621,134,396,188,224/141,134,536
  6. Step 6: Final answer
    x = 649,175,864.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.