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Finding the Third Proportional to 49,771,342.50 and 103,515,735

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Solution

The third proportional to 49,771,342.50 and 103,515,735 is: 215,294,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771,342.50 : 103,515,735 = 103,515,735 : x
  2. Step 2: Convert to fraction form
    49,771,342.50/103,515,735 = 103,515,735/x
  3. Step 3: Cross multiply
    49,771,342.50x = 103,515,735 × 103,515,735
  4. Step 4: Simplify right side
    49,771,342.50x = 10,715,507,392,590,224
  5. Step 5: Solve for x
    x = 10,715,507,392,590,224/49,771,342.50
  6. Step 6: Final answer
    x = 215,294,722.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.