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Finding the Third Proportional to 90,006.19 and 208,370.81

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Solution

The third proportional to 90,006.19 and 208,370.81 is: 482,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,006.19 : 208,370.81 = 208,370.81 : x
  2. Step 2: Convert to fraction form
    90,006.19/208,370.81 = 208,370.81/x
  3. Step 3: Cross multiply
    90,006.19x = 208,370.81 × 208,370.81
  4. Step 4: Simplify right side
    90,006.19x = 43,418,395,501.91
  5. Step 5: Solve for x
    x = 43,418,395,501.91/90,006.19
  6. Step 6: Final answer
    x = 482,393.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.