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Finding the Third Proportional to 266,448,907.50 and 399,673,361.25

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Solution

The third proportional to 266,448,907.50 and 399,673,361.25 is: 599,510,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,448,907.50 : 399,673,361.25 = 399,673,361.25 : x
  2. Step 2: Convert to fraction form
    266,448,907.50/399,673,361.25 = 399,673,361.25/x
  3. Step 3: Cross multiply
    266,448,907.50x = 399,673,361.25 × 399,673,361.25
  4. Step 4: Simplify right side
    266,448,907.50x = 159,738,795,692,872,992
  5. Step 5: Solve for x
    x = 159,738,795,692,872,992/266,448,907.50
  6. Step 6: Final answer
    x = 599,510,041.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.