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Finding the Third Proportional to 47,769.75 and 103,325.63

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Solution

The third proportional to 47,769.75 and 103,325.63 is: 223,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.75 : 103,325.63 = 103,325.63 : x
  2. Step 2: Convert to fraction form
    47,769.75/103,325.63 = 103,325.63/x
  3. Step 3: Cross multiply
    47,769.75x = 103,325.63 × 103,325.63
  4. Step 4: Simplify right side
    47,769.75x = 10,676,184,781.64
  5. Step 5: Solve for x
    x = 10,676,184,781.64/47,769.75
  6. Step 6: Final answer
    x = 223,492.58

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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.