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Finding the Third Proportional to 90,108,409.50 and 192,971,220.75

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Solution

The third proportional to 90,108,409.50 and 192,971,220.75 is: 413,256,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,108,409.50 : 192,971,220.75 = 192,971,220.75 : x
  2. Step 2: Convert to fraction form
    90,108,409.50/192,971,220.75 = 192,971,220.75/x
  3. Step 3: Cross multiply
    90,108,409.50x = 192,971,220.75 × 192,971,220.75
  4. Step 4: Simplify right side
    90,108,409.50x = 37,237,892,037,745,232
  5. Step 5: Solve for x
    x = 37,237,892,037,745,232/90,108,409.50
  6. Step 6: Final answer
    x = 413,256,567.78

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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.