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Finding the Third Proportional to 102,991,693 and 214,449,306

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Solution

The third proportional to 102,991,693 and 214,449,306 is: 446,526,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991,693 : 214,449,306 = 214,449,306 : x
  2. Step 2: Convert to fraction form
    102,991,693/214,449,306 = 214,449,306/x
  3. Step 3: Cross multiply
    102,991,693x = 214,449,306 × 214,449,306
  4. Step 4: Simplify right side
    102,991,693x = 45,988,504,843,881,632
  5. Step 5: Solve for x
    x = 45,988,504,843,881,632/102,991,693
  6. Step 6: Final answer
    x = 446,526,350.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.