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Finding the Third Proportional to 110,780,548.88 and 256,436,924.06

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Solution

The third proportional to 110,780,548.88 and 256,436,924.06 is: 593,605,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780,548.88 : 256,436,924.06 = 256,436,924.06 : x
  2. Step 2: Convert to fraction form
    110,780,548.88/256,436,924.06 = 256,436,924.06/x
  3. Step 3: Cross multiply
    110,780,548.88x = 256,436,924.06 × 256,436,924.06
  4. Step 4: Simplify right side
    110,780,548.88x = 65,759,896,022,636,392
  5. Step 5: Solve for x
    x = 65,759,896,022,636,392/110,780,548.88
  6. Step 6: Final answer
    x = 593,605,074.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.