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Finding the Third Proportional to 227,423,874 and 349,350,889.50

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Solution

The third proportional to 227,423,874 and 349,350,889.50 is: 536,645,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,423,874 : 349,350,889.50 = 349,350,889.50 : x
  2. Step 2: Convert to fraction form
    227,423,874/349,350,889.50 = 349,350,889.50/x
  3. Step 3: Cross multiply
    227,423,874x = 349,350,889.50 × 349,350,889.50
  4. Step 4: Simplify right side
    227,423,874x = 122,046,043,994,441,216
  5. Step 5: Solve for x
    x = 122,046,043,994,441,216/227,423,874
  6. Step 6: Final answer
    x = 536,645,699.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.