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Finding the Third Proportional to 90,784,839 and 188,029,454

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Solution

The third proportional to 90,784,839 and 188,029,454 is: 389,438,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,839 : 188,029,454 = 188,029,454 : x
  2. Step 2: Convert to fraction form
    90,784,839/188,029,454 = 188,029,454/x
  3. Step 3: Cross multiply
    90,784,839x = 188,029,454 × 188,029,454
  4. Step 4: Simplify right side
    90,784,839x = 35,355,075,571,538,116
  5. Step 5: Solve for x
    x = 35,355,075,571,538,116/90,784,839
  6. Step 6: Final answer
    x = 389,438,103.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.