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Finding the Third Proportional to 109,242,871.17 and 234,067,735.76

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Solution

The third proportional to 109,242,871.17 and 234,067,735.76 is: 501,522,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,871.17 : 234,067,735.76 = 234,067,735.76 : x
  2. Step 2: Convert to fraction form
    109,242,871.17/234,067,735.76 = 234,067,735.76/x
  3. Step 3: Cross multiply
    109,242,871.17x = 234,067,735.76 × 234,067,735.76
  4. Step 4: Simplify right side
    109,242,871.17x = 54,787,704,922,792,656
  5. Step 5: Solve for x
    x = 54,787,704,922,792,656/109,242,871.17
  6. Step 6: Final answer
    x = 501,522,015.44

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Why These Related Problems?

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