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Finding the Third Proportional to 64,743,400.50 and 135,472,378.50

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Solution

The third proportional to 64,743,400.50 and 135,472,378.50 is: 283,469,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743,400.50 : 135,472,378.50 = 135,472,378.50 : x
  2. Step 2: Convert to fraction form
    64,743,400.50/135,472,378.50 = 135,472,378.50/x
  3. Step 3: Cross multiply
    64,743,400.50x = 135,472,378.50 × 135,472,378.50
  4. Step 4: Simplify right side
    64,743,400.50x = 18,352,765,336,447,264
  5. Step 5: Solve for x
    x = 18,352,765,336,447,264/64,743,400.50
  6. Step 6: Final answer
    x = 283,469,283.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.