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Finding the Third Proportional to 131,765,184 and 190,088,640

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Solution

The third proportional to 131,765,184 and 190,088,640 is: 274,227,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,765,184 : 190,088,640 = 190,088,640 : x
  2. Step 2: Convert to fraction form
    131,765,184/190,088,640 = 190,088,640/x
  3. Step 3: Cross multiply
    131,765,184x = 190,088,640 × 190,088,640
  4. Step 4: Simplify right side
    131,765,184x = 36,133,691,057,049,600
  5. Step 5: Solve for x
    x = 36,133,691,057,049,600/131,765,184
  6. Step 6: Final answer
    x = 274,227,910.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.