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Finding the Third Proportional to 99,036,664,900 and 217,529,351,280

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Solution

The third proportional to 99,036,664,900 and 217,529,351,280 is: 477,792,933,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036,664,900 : 217,529,351,280 = 217,529,351,280 : x
  2. Step 2: Convert to fraction form
    99,036,664,900/217,529,351,280 = 217,529,351,280/x
  3. Step 3: Cross multiply
    99,036,664,900x = 217,529,351,280 × 217,529,351,280
  4. Step 4: Simplify right side
    99,036,664,900x = 47,319,018,668,297,633,660,928
  5. Step 5: Solve for x
    x = 47,319,018,668,297,633,660,928/99,036,664,900
  6. Step 6: Final answer
    x = 477,792,933,718.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.