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Finding the Third Proportional to 99,097,812 and 213,382,152

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Solution

The third proportional to 99,097,812 and 213,382,152 is: 459,464,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,097,812 : 213,382,152 = 213,382,152 : x
  2. Step 2: Convert to fraction form
    99,097,812/213,382,152 = 213,382,152/x
  3. Step 3: Cross multiply
    99,097,812x = 213,382,152 × 213,382,152
  4. Step 4: Simplify right side
    99,097,812x = 45,531,942,792,151,104
  5. Step 5: Solve for x
    x = 45,531,942,792,151,104/99,097,812
  6. Step 6: Final answer
    x = 459,464,662.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.