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Finding the Third Proportional to 226,958,400 and 359,438,256

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Solution

The third proportional to 226,958,400 and 359,438,256 is: 569,249,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,958,400 : 359,438,256 = 359,438,256 : x
  2. Step 2: Convert to fraction form
    226,958,400/359,438,256 = 359,438,256/x
  3. Step 3: Cross multiply
    226,958,400x = 359,438,256 × 359,438,256
  4. Step 4: Simplify right side
    226,958,400x = 129,195,859,876,321,536
  5. Step 5: Solve for x
    x = 129,195,859,876,321,536/226,958,400
  6. Step 6: Final answer
    x = 569,249,077.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.