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Finding the Third Proportional to 146,324,938.50 and 199,303,519.50

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Solution

The third proportional to 146,324,938.50 and 199,303,519.50 is: 271,463,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324,938.50 : 199,303,519.50 = 199,303,519.50 : x
  2. Step 2: Convert to fraction form
    146,324,938.50/199,303,519.50 = 199,303,519.50/x
  3. Step 3: Cross multiply
    146,324,938.50x = 199,303,519.50 × 199,303,519.50
  4. Step 4: Simplify right side
    146,324,938.50x = 39,721,892,885,086,880
  5. Step 5: Solve for x
    x = 39,721,892,885,086,880/146,324,938.50
  6. Step 6: Final answer
    x = 271,463,588.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.