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Finding the Third Proportional to 97,568,833.50 and 192,670,083

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Solution

The third proportional to 97,568,833.50 and 192,670,083 is: 380,467,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,568,833.50 : 192,670,083 = 192,670,083 : x
  2. Step 2: Convert to fraction form
    97,568,833.50/192,670,083 = 192,670,083/x
  3. Step 3: Cross multiply
    97,568,833.50x = 192,670,083 × 192,670,083
  4. Step 4: Simplify right side
    97,568,833.50x = 37,121,760,883,226,888
  5. Step 5: Solve for x
    x = 37,121,760,883,226,888/97,568,833.50
  6. Step 6: Final answer
    x = 380,467,404.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.