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Finding the Third Proportional to 202,926,469.50 and 434,550,735

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Solution

The third proportional to 202,926,469.50 and 434,550,735 is: 930,555,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,926,469.50 : 434,550,735 = 434,550,735 : x
  2. Step 2: Convert to fraction form
    202,926,469.50/434,550,735 = 434,550,735/x
  3. Step 3: Cross multiply
    202,926,469.50x = 434,550,735 × 434,550,735
  4. Step 4: Simplify right side
    202,926,469.50x = 188,834,341,289,040,224
  5. Step 5: Solve for x
    x = 188,834,341,289,040,224/202,926,469.50
  6. Step 6: Final answer
    x = 930,555,495.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.