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Finding the Third Proportional to 109,242,974 and 234,067,949

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Solution

The third proportional to 109,242,974 and 234,067,949 is: 501,522,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,974 : 234,067,949 = 234,067,949 : x
  2. Step 2: Convert to fraction form
    109,242,974/234,067,949 = 234,067,949/x
  3. Step 3: Cross multiply
    109,242,974x = 234,067,949 × 234,067,949
  4. Step 4: Simplify right side
    109,242,974x = 54,787,804,749,066,600
  5. Step 5: Solve for x
    x = 54,787,804,749,066,600/109,242,974
  6. Step 6: Final answer
    x = 501,522,457.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.