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Finding the Third Proportional to 116,229,036,831 and 166,207,720,600.50

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Solution

The third proportional to 116,229,036,831 and 166,207,720,600.50 is: 237,677,323,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229,036,831 : 166,207,720,600.50 = 166,207,720,600.50 : x
  2. Step 2: Convert to fraction form
    116,229,036,831/166,207,720,600.50 = 166,207,720,600.50/x
  3. Step 3: Cross multiply
    116,229,036,831x = 166,207,720,600.50 × 166,207,720,600.50
  4. Step 4: Simplify right side
    116,229,036,831x = 27,625,006,387,213,872,660,480
  5. Step 5: Solve for x
    x = 27,625,006,387,213,872,660,480/116,229,036,831
  6. Step 6: Final answer
    x = 237,677,323,502.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.