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Finding the Third Proportional to 48,200.63 and 100,765.13

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Solution

The third proportional to 48,200.63 and 100,765.13 is: 210,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,200.63 : 100,765.13 = 100,765.13 : x
  2. Step 2: Convert to fraction form
    48,200.63/100,765.13 = 100,765.13/x
  3. Step 3: Cross multiply
    48,200.63x = 100,765.13 × 100,765.13
  4. Step 4: Simplify right side
    48,200.63x = 10,153,610,416.27
  5. Step 5: Solve for x
    x = 10,153,610,416.27/48,200.63
  6. Step 6: Final answer
    x = 210,653.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.