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Finding the Third Proportional to 97,224 and 212,736

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Solution

The third proportional to 97,224 and 212,736 is: 465,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224 : 212,736 = 212,736 : x
  2. Step 2: Convert to fraction form
    97,224/212,736 = 212,736/x
  3. Step 3: Cross multiply
    97,224x = 212,736 × 212,736
  4. Step 4: Simplify right side
    97,224x = 45,256,605,696
  5. Step 5: Solve for x
    x = 45,256,605,696/97,224
  6. Step 6: Final answer
    x = 465,488.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.