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Finding the Third Proportional to 141,343,642 and 305,381,498

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Solution

The third proportional to 141,343,642 and 305,381,498 is: 659,795,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,343,642 : 305,381,498 = 305,381,498 : x
  2. Step 2: Convert to fraction form
    141,343,642/305,381,498 = 305,381,498/x
  3. Step 3: Cross multiply
    141,343,642x = 305,381,498 × 305,381,498
  4. Step 4: Simplify right side
    141,343,642x = 93,257,859,320,724,000
  5. Step 5: Solve for x
    x = 93,257,859,320,724,000/141,343,642
  6. Step 6: Final answer
    x = 659,795,219.66

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