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Finding the Third Proportional to 189,080,256 and 411,289,344

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Solution

The third proportional to 189,080,256 and 411,289,344 is: 894,640,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,256 : 411,289,344 = 411,289,344 : x
  2. Step 2: Convert to fraction form
    189,080,256/411,289,344 = 411,289,344/x
  3. Step 3: Cross multiply
    189,080,256x = 411,289,344 × 411,289,344
  4. Step 4: Simplify right side
    189,080,256x = 169,158,924,487,950,336
  5. Step 5: Solve for x
    x = 169,158,924,487,950,336/189,080,256
  6. Step 6: Final answer
    x = 894,640,868.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.