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Finding the Third Proportional to 94,384,380 and 222,490,220

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Solution

The third proportional to 94,384,380 and 222,490,220 is: 524,471,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,384,380 : 222,490,220 = 222,490,220 : x
  2. Step 2: Convert to fraction form
    94,384,380/222,490,220 = 222,490,220/x
  3. Step 3: Cross multiply
    94,384,380x = 222,490,220 × 222,490,220
  4. Step 4: Simplify right side
    94,384,380x = 49,501,897,995,648,400
  5. Step 5: Solve for x
    x = 49,501,897,995,648,400/94,384,380
  6. Step 6: Final answer
    x = 524,471,294.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.