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Finding the Third Proportional to 184,066,866 and 408,993,957

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Solution

The third proportional to 184,066,866 and 408,993,957 is: 908,778,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,066,866 : 408,993,957 = 408,993,957 : x
  2. Step 2: Convert to fraction form
    184,066,866/408,993,957 = 408,993,957/x
  3. Step 3: Cross multiply
    184,066,866x = 408,993,957 × 408,993,957
  4. Step 4: Simplify right side
    184,066,866x = 167,276,056,862,517,856
  5. Step 5: Solve for x
    x = 167,276,056,862,517,856/184,066,866
  6. Step 6: Final answer
    x = 908,778,752.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.