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Finding the Third Proportional to 195,681,350.87 and 422,003,596.89

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Solution

The third proportional to 195,681,350.87 and 422,003,596.89 is: 910,086,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,681,350.87 : 422,003,596.89 = 422,003,596.89 : x
  2. Step 2: Convert to fraction form
    195,681,350.87/422,003,596.89 = 422,003,596.89/x
  3. Step 3: Cross multiply
    195,681,350.87x = 422,003,596.89 × 422,003,596.89
  4. Step 4: Simplify right side
    195,681,350.87x = 178,087,035,785,312,384
  5. Step 5: Solve for x
    x = 178,087,035,785,312,384/195,681,350.87
  6. Step 6: Final answer
    x = 910,086,909.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.