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Finding the Third Proportional to 195,681,984 and 422,004,816

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Solution

The third proportional to 195,681,984 and 422,004,816 is: 910,089,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,681,984 : 422,004,816 = 422,004,816 : x
  2. Step 2: Convert to fraction form
    195,681,984/422,004,816 = 422,004,816/x
  3. Step 3: Cross multiply
    195,681,984x = 422,004,816 × 422,004,816
  4. Step 4: Simplify right side
    195,681,984x = 178,088,064,727,193,856
  5. Step 5: Solve for x
    x = 178,088,064,727,193,856/195,681,984
  6. Step 6: Final answer
    x = 910,089,222.76

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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.