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Finding the Third Proportional to 94,471,346,353.50 and 208,198,961,782.50

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Solution

The third proportional to 94,471,346,353.50 and 208,198,961,782.50 is: 458,835,502,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,471,346,353.50 : 208,198,961,782.50 = 208,198,961,782.50 : x
  2. Step 2: Convert to fraction form
    94,471,346,353.50/208,198,961,782.50 = 208,198,961,782.50/x
  3. Step 3: Cross multiply
    94,471,346,353.50x = 208,198,961,782.50 × 208,198,961,782.50
  4. Step 4: Simplify right side
    94,471,346,353.50x = 43,346,807,687,310,894,694,400
  5. Step 5: Solve for x
    x = 43,346,807,687,310,894,694,400/94,471,346,353.50
  6. Step 6: Final answer
    x = 458,835,502,620.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.