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Finding the Third Proportional to 106,633,267,872 and 222,092,508,528

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Solution

The third proportional to 106,633,267,872 and 222,092,508,528 is: 462,567,483,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,633,267,872 : 222,092,508,528 = 222,092,508,528 : x
  2. Step 2: Convert to fraction form
    106,633,267,872/222,092,508,528 = 222,092,508,528/x
  3. Step 3: Cross multiply
    106,633,267,872x = 222,092,508,528 × 222,092,508,528
  4. Step 4: Simplify right side
    106,633,267,872x = 49,325,082,344,259,753,869,312
  5. Step 5: Solve for x
    x = 49,325,082,344,259,753,869,312/106,633,267,872
  6. Step 6: Final answer
    x = 462,567,483,193.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.