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Finding the Third Proportional to 204,272,472 and 305,684,964

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Solution

The third proportional to 204,272,472 and 305,684,964 is: 457,444,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,272,472 : 305,684,964 = 305,684,964 : x
  2. Step 2: Convert to fraction form
    204,272,472/305,684,964 = 305,684,964/x
  3. Step 3: Cross multiply
    204,272,472x = 305,684,964 × 305,684,964
  4. Step 4: Simplify right side
    204,272,472x = 93,443,297,215,681,296
  5. Step 5: Solve for x
    x = 93,443,297,215,681,296/204,272,472
  6. Step 6: Final answer
    x = 457,444,394.25

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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.