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Finding the Third Proportional to 65,525,044.50 and 142,188,073.50

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Solution

The third proportional to 65,525,044.50 and 142,188,073.50 is: 308,545,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,525,044.50 : 142,188,073.50 = 142,188,073.50 : x
  2. Step 2: Convert to fraction form
    65,525,044.50/142,188,073.50 = 142,188,073.50/x
  3. Step 3: Cross multiply
    65,525,044.50x = 142,188,073.50 × 142,188,073.50
  4. Step 4: Simplify right side
    65,525,044.50x = 20,217,448,245,641,404
  5. Step 5: Solve for x
    x = 20,217,448,245,641,404/65,525,044.50
  6. Step 6: Final answer
    x = 308,545,356.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.