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Finding the Third Proportional to 103,495.22 and 213,597

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Solution

The third proportional to 103,495.22 and 213,597 is: 440,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,495.22 : 213,597 = 213,597 : x
  2. Step 2: Convert to fraction form
    103,495.22/213,597 = 213,597/x
  3. Step 3: Cross multiply
    103,495.22x = 213,597 × 213,597
  4. Step 4: Simplify right side
    103,495.22x = 45,623,678,409
  5. Step 5: Solve for x
    x = 45,623,678,409/103,495.22
  6. Step 6: Final answer
    x = 440,828.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.