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Finding the Third Proportional to 194,197,586.06 and 415,941,525.56

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Solution

The third proportional to 194,197,586.06 and 415,941,525.56 is: 890,883,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,197,586.06 : 415,941,525.56 = 415,941,525.56 : x
  2. Step 2: Convert to fraction form
    194,197,586.06/415,941,525.56 = 415,941,525.56/x
  3. Step 3: Cross multiply
    194,197,586.06x = 415,941,525.56 × 415,941,525.56
  4. Step 4: Simplify right side
    194,197,586.06x = 173,007,352,687,259,840
  5. Step 5: Solve for x
    x = 173,007,352,687,259,840/194,197,586.06
  6. Step 6: Final answer
    x = 890,883,126.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.