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Finding the Third Proportional to 104,942,814 and 230,546,460

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Solution

The third proportional to 104,942,814 and 230,546,460 is: 506,482,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,942,814 : 230,546,460 = 230,546,460 : x
  2. Step 2: Convert to fraction form
    104,942,814/230,546,460 = 230,546,460/x
  3. Step 3: Cross multiply
    104,942,814x = 230,546,460 × 230,546,460
  4. Step 4: Simplify right side
    104,942,814x = 53,151,670,218,531,600
  5. Step 5: Solve for x
    x = 53,151,670,218,531,600/104,942,814
  6. Step 6: Final answer
    x = 506,482,227.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.