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Finding the Third Proportional to 51,150,110 and 109,577,983

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Solution

The third proportional to 51,150,110 and 109,577,983 is: 234,746,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,150,110 : 109,577,983 = 109,577,983 : x
  2. Step 2: Convert to fraction form
    51,150,110/109,577,983 = 109,577,983/x
  3. Step 3: Cross multiply
    51,150,110x = 109,577,983 × 109,577,983
  4. Step 4: Simplify right side
    51,150,110x = 12,007,334,358,348,288
  5. Step 5: Solve for x
    x = 12,007,334,358,348,288/51,150,110
  6. Step 6: Final answer
    x = 234,746,989.95

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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.