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Finding the Third Proportional to 106,207,974 and 160,288,983

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Solution

The third proportional to 106,207,974 and 160,288,983 is: 241,907,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,207,974 : 160,288,983 = 160,288,983 : x
  2. Step 2: Convert to fraction form
    106,207,974/160,288,983 = 160,288,983/x
  3. Step 3: Cross multiply
    106,207,974x = 160,288,983 × 160,288,983
  4. Step 4: Simplify right side
    106,207,974x = 25,692,558,071,174,288
  5. Step 5: Solve for x
    x = 25,692,558,071,174,288/106,207,974
  6. Step 6: Final answer
    x = 241,907,995.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.