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Finding the Third Proportional to 48,650.63 and 105,296.63

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Solution

The third proportional to 48,650.63 and 105,296.63 is: 227,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,650.63 : 105,296.63 = 105,296.63 : x
  2. Step 2: Convert to fraction form
    48,650.63/105,296.63 = 105,296.63/x
  3. Step 3: Cross multiply
    48,650.63x = 105,296.63 × 105,296.63
  4. Step 4: Simplify right side
    48,650.63x = 11,087,379,236.39
  5. Step 5: Solve for x
    x = 11,087,379,236.39/48,650.63
  6. Step 6: Final answer
    x = 227,897.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.