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Finding the Third Proportional to 99,126,888.75 and 206,399,986.88

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Solution

The third proportional to 99,126,888.75 and 206,399,986.88 is: 429,761,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126,888.75 : 206,399,986.88 = 206,399,986.88 : x
  2. Step 2: Convert to fraction form
    99,126,888.75/206,399,986.88 = 206,399,986.88/x
  3. Step 3: Cross multiply
    99,126,888.75x = 206,399,986.88 × 206,399,986.88
  4. Step 4: Simplify right side
    99,126,888.75x = 42,600,954,582,000,176
  5. Step 5: Solve for x
    x = 42,600,954,582,000,176/99,126,888.75
  6. Step 6: Final answer
    x = 429,761,844.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.