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Finding the Third Proportional to 126,109,831 and 177,513,044

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Solution

The third proportional to 126,109,831 and 177,513,044 is: 249,868,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,109,831 : 177,513,044 = 177,513,044 : x
  2. Step 2: Convert to fraction form
    126,109,831/177,513,044 = 177,513,044/x
  3. Step 3: Cross multiply
    126,109,831x = 177,513,044 × 177,513,044
  4. Step 4: Simplify right side
    126,109,831x = 31,510,880,790,145,936
  5. Step 5: Solve for x
    x = 31,510,880,790,145,936/126,109,831
  6. Step 6: Final answer
    x = 249,868,551.41

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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.