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Finding the Third Proportional to 189,496,598,679 and 421,361,932,494.75

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Solution

The third proportional to 189,496,598,679 and 421,361,932,494.75 is: 936,934,379,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496,598,679 : 421,361,932,494.75 = 421,361,932,494.75 : x
  2. Step 2: Convert to fraction form
    189,496,598,679/421,361,932,494.75 = 421,361,932,494.75/x
  3. Step 3: Cross multiply
    189,496,598,679x = 421,361,932,494.75 × 421,361,932,494.75
  4. Step 4: Simplify right side
    189,496,598,679x = 177,545,878,155,710,259,265,536
  5. Step 5: Solve for x
    x = 177,545,878,155,710,259,265,536/189,496,598,679
  6. Step 6: Final answer
    x = 936,934,379,790.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.