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Finding the Third Proportional to 172,846,503 and 380,169,270

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Solution

The third proportional to 172,846,503 and 380,169,270 is: 836,167,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846,503 : 380,169,270 = 380,169,270 : x
  2. Step 2: Convert to fraction form
    172,846,503/380,169,270 = 380,169,270/x
  3. Step 3: Cross multiply
    172,846,503x = 380,169,270 × 380,169,270
  4. Step 4: Simplify right side
    172,846,503x = 144,528,673,852,332,896
  5. Step 5: Solve for x
    x = 144,528,673,852,332,896/172,846,503
  6. Step 6: Final answer
    x = 836,167,763.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.