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Finding the Third Proportional to 89,368,305,423 and 194,427,017,811

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Solution

The third proportional to 89,368,305,423 and 194,427,017,811 is: 422,989,616,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,368,305,423 : 194,427,017,811 = 194,427,017,811 : x
  2. Step 2: Convert to fraction form
    89,368,305,423/194,427,017,811 = 194,427,017,811/x
  3. Step 3: Cross multiply
    89,368,305,423x = 194,427,017,811 × 194,427,017,811
  4. Step 4: Simplify right side
    89,368,305,423x = 37,801,865,254,878,907,990,016
  5. Step 5: Solve for x
    x = 37,801,865,254,878,907,990,016/89,368,305,423
  6. Step 6: Final answer
    x = 422,989,616,687.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.