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Finding the Third Proportional to 109,242,873 and 234,067,740

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Solution

The third proportional to 109,242,873 and 234,067,740 is: 501,522,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,873 : 234,067,740 = 234,067,740 : x
  2. Step 2: Convert to fraction form
    109,242,873/234,067,740 = 234,067,740/x
  3. Step 3: Cross multiply
    109,242,873x = 234,067,740 × 234,067,740
  4. Step 4: Simplify right side
    109,242,873x = 54,787,706,908,707,600
  5. Step 5: Solve for x
    x = 54,787,706,908,707,600/109,242,873
  6. Step 6: Final answer
    x = 501,522,025.23

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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.