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Finding the Third Proportional to 148,372,828.50 and 226,965,199.50

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Solution

The third proportional to 148,372,828.50 and 226,965,199.50 is: 347,187,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,372,828.50 : 226,965,199.50 = 226,965,199.50 : x
  2. Step 2: Convert to fraction form
    148,372,828.50/226,965,199.50 = 226,965,199.50/x
  3. Step 3: Cross multiply
    148,372,828.50x = 226,965,199.50 × 226,965,199.50
  4. Step 4: Simplify right side
    148,372,828.50x = 51,513,201,784,074,800
  5. Step 5: Solve for x
    x = 51,513,201,784,074,800/148,372,828.50
  6. Step 6: Final answer
    x = 347,187,570.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.