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Finding the Third Proportional to 49,882,346,355.50 and 108,545,997,319

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Solution

The third proportional to 49,882,346,355.50 and 108,545,997,319 is: 236,200,467,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,346,355.50 : 108,545,997,319 = 108,545,997,319 : x
  2. Step 2: Convert to fraction form
    49,882,346,355.50/108,545,997,319 = 108,545,997,319/x
  3. Step 3: Cross multiply
    49,882,346,355.50x = 108,545,997,319 × 108,545,997,319
  4. Step 4: Simplify right side
    49,882,346,355.50x = 11,782,233,533,976,355,536,896
  5. Step 5: Solve for x
    x = 11,782,233,533,976,355,536,896/49,882,346,355.50
  6. Step 6: Final answer
    x = 236,200,467,596.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.