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Finding the Third Proportional to 268,108,843.50 and 578,541,924

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Solution

The third proportional to 268,108,843.50 and 578,541,924 is: 1,248,413,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,108,843.50 : 578,541,924 = 578,541,924 : x
  2. Step 2: Convert to fraction form
    268,108,843.50/578,541,924 = 578,541,924/x
  3. Step 3: Cross multiply
    268,108,843.50x = 578,541,924 × 578,541,924
  4. Step 4: Simplify right side
    268,108,843.50x = 334,710,757,825,621,760
  5. Step 5: Solve for x
    x = 334,710,757,825,621,760/268,108,843.50
  6. Step 6: Final answer
    x = 1,248,413,716.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.