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Finding the Third Proportional to 308,211,282 and 451,259,442

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Solution

The third proportional to 308,211,282 and 451,259,442 is: 660,699,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,211,282 : 451,259,442 = 451,259,442 : x
  2. Step 2: Convert to fraction form
    308,211,282/451,259,442 = 451,259,442/x
  3. Step 3: Cross multiply
    308,211,282x = 451,259,442 × 451,259,442
  4. Step 4: Simplify right side
    308,211,282x = 203,635,083,994,151,360
  5. Step 5: Solve for x
    x = 203,635,083,994,151,360/308,211,282
  6. Step 6: Final answer
    x = 660,699,643.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.