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Finding the Third Proportional to 140,873,181 and 305,196,672

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Solution

The third proportional to 140,873,181 and 305,196,672 is: 661,197,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,873,181 : 305,196,672 = 305,196,672 : x
  2. Step 2: Convert to fraction form
    140,873,181/305,196,672 = 305,196,672/x
  3. Step 3: Cross multiply
    140,873,181x = 305,196,672 × 305,196,672
  4. Step 4: Simplify right side
    140,873,181x = 93,145,008,599,875,584
  5. Step 5: Solve for x
    x = 93,145,008,599,875,584/140,873,181
  6. Step 6: Final answer
    x = 661,197,595.87

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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.