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Finding the Third Proportional to 140,699,331.75 and 305,619,256

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Solution

The third proportional to 140,699,331.75 and 305,619,256 is: 663,849,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,699,331.75 : 305,619,256 = 305,619,256 : x
  2. Step 2: Convert to fraction form
    140,699,331.75/305,619,256 = 305,619,256/x
  3. Step 3: Cross multiply
    140,699,331.75x = 305,619,256 × 305,619,256
  4. Step 4: Simplify right side
    140,699,331.75x = 93,403,129,637,993,536
  5. Step 5: Solve for x
    x = 93,403,129,637,993,536/140,699,331.75
  6. Step 6: Final answer
    x = 663,849,134.72

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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.