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Finding the Third Proportional to 89,737,669,496 and 194,366,847,251

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Solution

The third proportional to 89,737,669,496 and 194,366,847,251 is: 420,987,880,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,737,669,496 : 194,366,847,251 = 194,366,847,251 : x
  2. Step 2: Convert to fraction form
    89,737,669,496/194,366,847,251 = 194,366,847,251/x
  3. Step 3: Cross multiply
    89,737,669,496x = 194,366,847,251 × 194,366,847,251
  4. Step 4: Simplify right side
    89,737,669,496x = 37,778,471,310,293,565,702,144
  5. Step 5: Solve for x
    x = 37,778,471,310,293,565,702,144/89,737,669,496
  6. Step 6: Final answer
    x = 420,987,880,813.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.