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Finding the Third Proportional to 85,984,809,400 and 128,231,563,690

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Solution

The third proportional to 85,984,809,400 and 128,231,563,690 is: 191,235,336,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,984,809,400 : 128,231,563,690 = 128,231,563,690 : x
  2. Step 2: Convert to fraction form
    85,984,809,400/128,231,563,690 = 128,231,563,690/x
  3. Step 3: Cross multiply
    85,984,809,400x = 128,231,563,690 × 128,231,563,690
  4. Step 4: Simplify right side
    85,984,809,400x = 16,443,333,926,382,525,743,104
  5. Step 5: Solve for x
    x = 16,443,333,926,382,525,743,104/85,984,809,400
  6. Step 6: Final answer
    x = 191,235,336,114.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.