Home / 194,230,201.50-406,417,135.50

Finding the Third Proportional to 194,230,201.50 and 406,417,135.50

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Solution

The third proportional to 194,230,201.50 and 406,417,135.50 is: 850,407,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,230,201.50 : 406,417,135.50 = 406,417,135.50 : x
  2. Step 2: Convert to fraction form
    194,230,201.50/406,417,135.50 = 406,417,135.50/x
  3. Step 3: Cross multiply
    194,230,201.50x = 406,417,135.50 × 406,417,135.50
  4. Step 4: Simplify right side
    194,230,201.50x = 165,174,888,028,025,376
  5. Step 5: Solve for x
    x = 165,174,888,028,025,376/194,230,201.50
  6. Step 6: Final answer
    x = 850,407,849.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.