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Finding the Third Proportional to 45,927 and 97,902.42

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Solution

The third proportional to 45,927 and 97,902.42 is: 208,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 97,902.42 = 97,902.42 : x
  2. Step 2: Convert to fraction form
    45,927/97,902.42 = 97,902.42/x
  3. Step 3: Cross multiply
    45,927x = 97,902.42 × 97,902.42
  4. Step 4: Simplify right side
    45,927x = 9,584,884,208.99
  5. Step 5: Solve for x
    x = 9,584,884,208.99/45,927
  6. Step 6: Final answer
    x = 208,698.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.