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Finding the Third Proportional to 47,319 and 97,095

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Solution

The third proportional to 47,319 and 97,095 is: 199,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319 : 97,095 = 97,095 : x
  2. Step 2: Convert to fraction form
    47,319/97,095 = 97,095/x
  3. Step 3: Cross multiply
    47,319x = 97,095 × 97,095
  4. Step 4: Simplify right side
    47,319x = 9,427,439,025
  5. Step 5: Solve for x
    x = 9,427,439,025/47,319
  6. Step 6: Final answer
    x = 199,231.58

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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.