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Finding the Third Proportional to 244,099,719 and 368,419,569.75

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Solution

The third proportional to 244,099,719 and 368,419,569.75 is: 556,055,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,099,719 : 368,419,569.75 = 368,419,569.75 : x
  2. Step 2: Convert to fraction form
    244,099,719/368,419,569.75 = 368,419,569.75/x
  3. Step 3: Cross multiply
    244,099,719x = 368,419,569.75 × 368,419,569.75
  4. Step 4: Simplify right side
    244,099,719x = 135,732,979,374,775,120
  5. Step 5: Solve for x
    x = 135,732,979,374,775,120/244,099,719
  6. Step 6: Final answer
    x = 556,055,451.15

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Why These Related Problems?

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