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Finding the Third Proportional to 105,892,726,102 and 226,892,439,900

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Solution

The third proportional to 105,892,726,102 and 226,892,439,900 is: 486,154,065,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,726,102 : 226,892,439,900 = 226,892,439,900 : x
  2. Step 2: Convert to fraction form
    105,892,726,102/226,892,439,900 = 226,892,439,900/x
  3. Step 3: Cross multiply
    105,892,726,102x = 226,892,439,900 × 226,892,439,900
  4. Step 4: Simplify right side
    105,892,726,102x = 51,480,179,283,775,113,396,224
  5. Step 5: Solve for x
    x = 51,480,179,283,775,113,396,224/105,892,726,102
  6. Step 6: Final answer
    x = 486,154,065,333.89

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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.