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Finding the Third Proportional to 181,569,451.50 and 376,058,470.50

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Solution

The third proportional to 181,569,451.50 and 376,058,470.50 is: 778,875,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,451.50 : 376,058,470.50 = 376,058,470.50 : x
  2. Step 2: Convert to fraction form
    181,569,451.50/376,058,470.50 = 376,058,470.50/x
  3. Step 3: Cross multiply
    181,569,451.50x = 376,058,470.50 × 376,058,470.50
  4. Step 4: Simplify right side
    181,569,451.50x = 141,419,973,234,799,376
  5. Step 5: Solve for x
    x = 141,419,973,234,799,376/181,569,451.50
  6. Step 6: Final answer
    x = 778,875,367.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.