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Finding the Third Proportional to 233,950,092.75 and 506,910,661.31

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Solution

The third proportional to 233,950,092.75 and 506,910,661.31 is: 1,098,347,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,950,092.75 : 506,910,661.31 = 506,910,661.31 : x
  2. Step 2: Convert to fraction form
    233,950,092.75/506,910,661.31 = 506,910,661.31/x
  3. Step 3: Cross multiply
    233,950,092.75x = 506,910,661.31 × 506,910,661.31
  4. Step 4: Simplify right side
    233,950,092.75x = 256,958,418,552,276,096
  5. Step 5: Solve for x
    x = 256,958,418,552,276,096/233,950,092.75
  6. Step 6: Final answer
    x = 1,098,347,154.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.