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Finding the Third Proportional to 233,231,224 and 539,944,561

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Solution

The third proportional to 233,231,224 and 539,944,561 is: 1,250,004,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,224 : 539,944,561 = 539,944,561 : x
  2. Step 2: Convert to fraction form
    233,231,224/539,944,561 = 539,944,561/x
  3. Step 3: Cross multiply
    233,231,224x = 539,944,561 × 539,944,561
  4. Step 4: Simplify right side
    233,231,224x = 291,540,128,953,482,752
  5. Step 5: Solve for x
    x = 291,540,128,953,482,752/233,231,224
  6. Step 6: Final answer
    x = 1,250,004,711.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.