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Finding the Third Proportional to 85,504,334 and 190,088,380

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Solution

The third proportional to 85,504,334 and 190,088,380 is: 422,593,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,504,334 : 190,088,380 = 190,088,380 : x
  2. Step 2: Convert to fraction form
    85,504,334/190,088,380 = 190,088,380/x
  3. Step 3: Cross multiply
    85,504,334x = 190,088,380 × 190,088,380
  4. Step 4: Simplify right side
    85,504,334x = 36,133,592,211,024,400
  5. Step 5: Solve for x
    x = 36,133,592,211,024,400/85,504,334
  6. Step 6: Final answer
    x = 422,593,692.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.