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Finding the Third Proportional to 192,468,199 and 449,107,985.50

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Solution

The third proportional to 192,468,199 and 449,107,985.50 is: 1,047,954,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468,199 : 449,107,985.50 = 449,107,985.50 : x
  2. Step 2: Convert to fraction form
    192,468,199/449,107,985.50 = 449,107,985.50/x
  3. Step 3: Cross multiply
    192,468,199x = 449,107,985.50 × 449,107,985.50
  4. Step 4: Simplify right side
    192,468,199x = 201,697,982,639,868,224
  5. Step 5: Solve for x
    x = 201,697,982,639,868,224/192,468,199
  6. Step 6: Final answer
    x = 1,047,954,850.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.