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Finding the Third Proportional to 100,355,233.50 and 141,324,405.75

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Solution

The third proportional to 100,355,233.50 and 141,324,405.75 is: 199,018,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,355,233.50 : 141,324,405.75 = 141,324,405.75 : x
  2. Step 2: Convert to fraction form
    100,355,233.50/141,324,405.75 = 141,324,405.75/x
  3. Step 3: Cross multiply
    100,355,233.50x = 141,324,405.75 × 141,324,405.75
  4. Step 4: Simplify right side
    100,355,233.50x = 19,972,587,660,590,632
  5. Step 5: Solve for x
    x = 19,972,587,660,590,632/100,355,233.50
  6. Step 6: Final answer
    x = 199,018,894.82

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