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Finding the Third Proportional to 181,569,696 and 376,058,944

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Solution

The third proportional to 181,569,696 and 376,058,944 is: 778,876,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,696 : 376,058,944 = 376,058,944 : x
  2. Step 2: Convert to fraction form
    181,569,696/376,058,944 = 376,058,944/x
  3. Step 3: Cross multiply
    181,569,696x = 376,058,944 × 376,058,944
  4. Step 4: Simplify right side
    181,569,696x = 141,420,329,362,395,136
  5. Step 5: Solve for x
    x = 141,420,329,362,395,136/181,569,696
  6. Step 6: Final answer
    x = 778,876,279.90

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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.