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Finding the Third Proportional to 138,407,202 and 194,660,469

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Solution

The third proportional to 138,407,202 and 194,660,469 is: 273,776,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407,202 : 194,660,469 = 194,660,469 : x
  2. Step 2: Convert to fraction form
    138,407,202/194,660,469 = 194,660,469/x
  3. Step 3: Cross multiply
    138,407,202x = 194,660,469 × 194,660,469
  4. Step 4: Simplify right side
    138,407,202x = 37,892,698,191,299,960
  5. Step 5: Solve for x
    x = 37,892,698,191,299,960/138,407,202
  6. Step 6: Final answer
    x = 273,776,925.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.