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Finding the Third Proportional to 111,332,882.25 and 230,302,768.50

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Solution

The third proportional to 111,332,882.25 and 230,302,768.50 is: 476,403,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,332,882.25 : 230,302,768.50 = 230,302,768.50 : x
  2. Step 2: Convert to fraction form
    111,332,882.25/230,302,768.50 = 230,302,768.50/x
  3. Step 3: Cross multiply
    111,332,882.25x = 230,302,768.50 × 230,302,768.50
  4. Step 4: Simplify right side
    111,332,882.25x = 53,039,365,178,764,592
  5. Step 5: Solve for x
    x = 53,039,365,178,764,592/111,332,882.25
  6. Step 6: Final answer
    x = 476,403,413.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.