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Finding the Third Proportional to 49,215,763 and 107,695,415

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Solution

The third proportional to 49,215,763 and 107,695,415 is: 235,662,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,215,763 : 107,695,415 = 107,695,415 : x
  2. Step 2: Convert to fraction form
    49,215,763/107,695,415 = 107,695,415/x
  3. Step 3: Cross multiply
    49,215,763x = 107,695,415 × 107,695,415
  4. Step 4: Simplify right side
    49,215,763x = 11,598,302,412,022,224
  5. Step 5: Solve for x
    x = 11,598,302,412,022,224/49,215,763
  6. Step 6: Final answer
    x = 235,662,350.94

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Why These Related Problems?

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