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Finding the Third Proportional to 90,008,502.75 and 196,371,191.25

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Solution

The third proportional to 90,008,502.75 and 196,371,191.25 is: 428,422,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,008,502.75 : 196,371,191.25 = 196,371,191.25 : x
  2. Step 2: Convert to fraction form
    90,008,502.75/196,371,191.25 = 196,371,191.25/x
  3. Step 3: Cross multiply
    90,008,502.75x = 196,371,191.25 × 196,371,191.25
  4. Step 4: Simplify right side
    90,008,502.75x = 38,561,644,752,944,080
  5. Step 5: Solve for x
    x = 38,561,644,752,944,080/90,008,502.75
  6. Step 6: Final answer
    x = 428,422,244.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.