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Finding the Third Proportional to 233,000,104 and 504,771,344

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Solution

The third proportional to 233,000,104 and 504,771,344 is: 1,093,536,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,000,104 : 504,771,344 = 504,771,344 : x
  2. Step 2: Convert to fraction form
    233,000,104/504,771,344 = 504,771,344/x
  3. Step 3: Cross multiply
    233,000,104x = 504,771,344 × 504,771,344
  4. Step 4: Simplify right side
    233,000,104x = 254,794,109,723,566,336
  5. Step 5: Solve for x
    x = 254,794,109,723,566,336/233,000,104
  6. Step 6: Final answer
    x = 1,093,536,463.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.