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Finding the Third Proportional to 47,656.00 and 103,157.46

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Solution

The third proportional to 47,656.00 and 103,157.46 is: 223,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.00 : 103,157.46 = 103,157.46 : x
  2. Step 2: Convert to fraction form
    47,656.00/103,157.46 = 103,157.46/x
  3. Step 3: Cross multiply
    47,656.00x = 103,157.46 × 103,157.46
  4. Step 4: Simplify right side
    47,656.00x = 10,641,460,538.19
  5. Step 5: Solve for x
    x = 10,641,460,538.19/47,656.00
  6. Step 6: Final answer
    x = 223,297.38

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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.