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Finding the Third Proportional to 50,214,497.91 and 108,808,647.47

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Solution

The third proportional to 50,214,497.91 and 108,808,647.47 is: 235,774,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214,497.91 : 108,808,647.47 = 108,808,647.47 : x
  2. Step 2: Convert to fraction form
    50,214,497.91/108,808,647.47 = 108,808,647.47/x
  3. Step 3: Cross multiply
    50,214,497.91x = 108,808,647.47 × 108,808,647.47
  4. Step 4: Simplify right side
    50,214,497.91x = 11,839,321,763,978,716
  5. Step 5: Solve for x
    x = 11,839,321,763,978,716/50,214,497.91
  6. Step 6: Final answer
    x = 235,774,970.53

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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.