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Finding the Third Proportional to 190,631,568.25 and 411,496,224.50

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Solution

The third proportional to 190,631,568.25 and 411,496,224.50 is: 888,253,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,631,568.25 : 411,496,224.50 = 411,496,224.50 : x
  2. Step 2: Convert to fraction form
    190,631,568.25/411,496,224.50 = 411,496,224.50/x
  3. Step 3: Cross multiply
    190,631,568.25x = 411,496,224.50 × 411,496,224.50
  4. Step 4: Simplify right side
    190,631,568.25x = 169,329,142,777,754,400
  5. Step 5: Solve for x
    x = 169,329,142,777,754,400/190,631,568.25
  6. Step 6: Final answer
    x = 888,253,421.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.