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Finding the Third Proportional to 140,577,643.50 and 305,335,029

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Solution

The third proportional to 140,577,643.50 and 305,335,029 is: 663,188,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,577,643.50 : 305,335,029 = 305,335,029 : x
  2. Step 2: Convert to fraction form
    140,577,643.50/305,335,029 = 305,335,029/x
  3. Step 3: Cross multiply
    140,577,643.50x = 305,335,029 × 305,335,029
  4. Step 4: Simplify right side
    140,577,643.50x = 93,229,479,934,430,848
  5. Step 5: Solve for x
    x = 93,229,479,934,430,848/140,577,643.50
  6. Step 6: Final answer
    x = 663,188,524.24

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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.