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Finding the Third Proportional to 90,404,947.97 and 196,221,684.94

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Solution

The third proportional to 90,404,947.97 and 196,221,684.94 is: 425,894,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,404,947.97 : 196,221,684.94 = 196,221,684.94 : x
  2. Step 2: Convert to fraction form
    90,404,947.97/196,221,684.94 = 196,221,684.94/x
  3. Step 3: Cross multiply
    90,404,947.97x = 196,221,684.94 × 196,221,684.94
  4. Step 4: Simplify right side
    90,404,947.97x = 38,502,949,639,711,512
  5. Step 5: Solve for x
    x = 38,502,949,639,711,512/90,404,947.97
  6. Step 6: Final answer
    x = 425,894,273.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.