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Finding the Third Proportional to 246,195,222 and 533,244,900

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Solution

The third proportional to 246,195,222 and 533,244,900 is: 1,154,978,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,195,222 : 533,244,900 = 533,244,900 : x
  2. Step 2: Convert to fraction form
    246,195,222/533,244,900 = 533,244,900/x
  3. Step 3: Cross multiply
    246,195,222x = 533,244,900 × 533,244,900
  4. Step 4: Simplify right side
    246,195,222x = 284,350,123,376,009,984
  5. Step 5: Solve for x
    x = 284,350,123,376,009,984/246,195,222
  6. Step 6: Final answer
    x = 1,154,978,236.65

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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.