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Finding the Third Proportional to 33,176,209.50 and 72,729,751.50

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Solution

The third proportional to 33,176,209.50 and 72,729,751.50 is: 159,440,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176,209.50 : 72,729,751.50 = 72,729,751.50 : x
  2. Step 2: Convert to fraction form
    33,176,209.50/72,729,751.50 = 72,729,751.50/x
  3. Step 3: Cross multiply
    33,176,209.50x = 72,729,751.50 × 72,729,751.50
  4. Step 4: Simplify right side
    33,176,209.50x = 5,289,616,753,251,752
  5. Step 5: Solve for x
    x = 5,289,616,753,251,752/33,176,209.50
  6. Step 6: Final answer
    x = 159,440,057.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.