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Finding the Third Proportional to 47,330 and 97,084

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Solution

The third proportional to 47,330 and 97,084 is: 199,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,330 : 97,084 = 97,084 : x
  2. Step 2: Convert to fraction form
    47,330/97,084 = 97,084/x
  3. Step 3: Cross multiply
    47,330x = 97,084 × 97,084
  4. Step 4: Simplify right side
    47,330x = 9,425,303,056
  5. Step 5: Solve for x
    x = 9,425,303,056/47,330
  6. Step 6: Final answer
    x = 199,140.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.