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Finding the Third Proportional to 299,037,396 and 437,203,118

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Solution

The third proportional to 299,037,396 and 437,203,118 is: 639,206,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,037,396 : 437,203,118 = 437,203,118 : x
  2. Step 2: Convert to fraction form
    299,037,396/437,203,118 = 437,203,118/x
  3. Step 3: Cross multiply
    299,037,396x = 437,203,118 × 437,203,118
  4. Step 4: Simplify right side
    299,037,396x = 191,146,566,388,921,920
  5. Step 5: Solve for x
    x = 191,146,566,388,921,920/299,037,396
  6. Step 6: Final answer
    x = 639,206,229.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.