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Finding the Third Proportional to 100,355,238 and 141,324,412.50

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Solution

The third proportional to 100,355,238 and 141,324,412.50 is: 199,018,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,355,238 : 141,324,412.50 = 141,324,412.50 : x
  2. Step 2: Convert to fraction form
    100,355,238/141,324,412.50 = 141,324,412.50/x
  3. Step 3: Cross multiply
    100,355,238x = 141,324,412.50 × 141,324,412.50
  4. Step 4: Simplify right side
    100,355,238x = 19,972,589,568,470,156
  5. Step 5: Solve for x
    x = 19,972,589,568,470,156/100,355,238
  6. Step 6: Final answer
    x = 199,018,904.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.