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Finding the Third Proportional to 105,892,726,092 and 226,892,439,882

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Solution

The third proportional to 105,892,726,092 and 226,892,439,882 is: 486,154,065,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,726,092 : 226,892,439,882 = 226,892,439,882 : x
  2. Step 2: Convert to fraction form
    105,892,726,092/226,892,439,882 = 226,892,439,882/x
  3. Step 3: Cross multiply
    105,892,726,092x = 226,892,439,882 × 226,892,439,882
  4. Step 4: Simplify right side
    105,892,726,092x = 51,480,179,275,606,983,180,288
  5. Step 5: Solve for x
    x = 51,480,179,275,606,983,180,288/105,892,726,092
  6. Step 6: Final answer
    x = 486,154,065,302.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.