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Finding the Third Proportional to 109,242,837.84 and 234,067,674.80

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Solution

The third proportional to 109,242,837.84 and 234,067,674.80 is: 501,521,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,837.84 : 234,067,674.80 = 234,067,674.80 : x
  2. Step 2: Convert to fraction form
    109,242,837.84/234,067,674.80 = 234,067,674.80/x
  3. Step 3: Cross multiply
    109,242,837.84x = 234,067,674.80 × 234,067,674.80
  4. Step 4: Simplify right side
    109,242,837.84x = 54,787,676,384,817,976
  5. Step 5: Solve for x
    x = 54,787,676,384,817,976/109,242,837.84
  6. Step 6: Final answer
    x = 501,521,907.21

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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.