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Finding the Third Proportional to 90,404,942.91 and 196,221,674.81

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Solution

The third proportional to 90,404,942.91 and 196,221,674.81 is: 425,894,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,404,942.91 : 196,221,674.81 = 196,221,674.81 : x
  2. Step 2: Convert to fraction form
    90,404,942.91/196,221,674.81 = 196,221,674.81/x
  3. Step 3: Cross multiply
    90,404,942.91x = 196,221,674.81 × 196,221,674.81
  4. Step 4: Simplify right side
    90,404,942.91x = 38,502,945,666,222,496
  5. Step 5: Solve for x
    x = 38,502,945,666,222,496/90,404,942.91
  6. Step 6: Final answer
    x = 425,894,253.44

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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.