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Finding the Third Proportional to 228,149,536.50 and 492,668,451

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Solution

The third proportional to 228,149,536.50 and 492,668,451 is: 1,063,873,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,149,536.50 : 492,668,451 = 492,668,451 : x
  2. Step 2: Convert to fraction form
    228,149,536.50/492,668,451 = 492,668,451/x
  3. Step 3: Cross multiply
    228,149,536.50x = 492,668,451 × 492,668,451
  4. Step 4: Simplify right side
    228,149,536.50x = 242,722,202,610,739,392
  5. Step 5: Solve for x
    x = 242,722,202,610,739,392/228,149,536.50
  6. Step 6: Final answer
    x = 1,063,873,310.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.