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Finding the Third Proportional to 109,242,841.50 and 234,067,682.25

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Solution

The third proportional to 109,242,841.50 and 234,067,682.25 is: 501,521,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,841.50 : 234,067,682.25 = 234,067,682.25 : x
  2. Step 2: Convert to fraction form
    109,242,841.50/234,067,682.25 = 234,067,682.25/x
  3. Step 3: Cross multiply
    109,242,841.50x = 234,067,682.25 × 234,067,682.25
  4. Step 4: Simplify right side
    109,242,841.50x = 54,787,679,873,886,968
  5. Step 5: Solve for x
    x = 54,787,679,873,886,968/109,242,841.50
  6. Step 6: Final answer
    x = 501,521,922.37

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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.