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Finding the Third Proportional to 103,469,944 and 143,865,240

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Solution

The third proportional to 103,469,944 and 143,865,240 is: 200,031,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,469,944 : 143,865,240 = 143,865,240 : x
  2. Step 2: Convert to fraction form
    103,469,944/143,865,240 = 143,865,240/x
  3. Step 3: Cross multiply
    103,469,944x = 143,865,240 × 143,865,240
  4. Step 4: Simplify right side
    103,469,944x = 20,697,207,280,257,600
  5. Step 5: Solve for x
    x = 20,697,207,280,257,600/103,469,944
  6. Step 6: Final answer
    x = 200,031,105.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.