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Finding the Third Proportional to 107,435,704.50 and 230,187,191

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Solution

The third proportional to 107,435,704.50 and 230,187,191 is: 493,189,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,704.50 : 230,187,191 = 230,187,191 : x
  2. Step 2: Convert to fraction form
    107,435,704.50/230,187,191 = 230,187,191/x
  3. Step 3: Cross multiply
    107,435,704.50x = 230,187,191 × 230,187,191
  4. Step 4: Simplify right side
    107,435,704.50x = 52,986,142,900,470,480
  5. Step 5: Solve for x
    x = 52,986,142,900,470,480/107,435,704.50
  6. Step 6: Final answer
    x = 493,189,327.95

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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.