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Finding the Third Proportional to 45,326 and 97,213.50

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Solution

The third proportional to 45,326 and 97,213.50 is: 208,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 97,213.50 = 97,213.50 : x
  2. Step 2: Convert to fraction form
    45,326/97,213.50 = 97,213.50/x
  3. Step 3: Cross multiply
    45,326x = 97,213.50 × 97,213.50
  4. Step 4: Simplify right side
    45,326x = 9,450,464,582.25
  5. Step 5: Solve for x
    x = 9,450,464,582.25/45,326
  6. Step 6: Final answer
    x = 208,499.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.