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Finding the Third Proportional to 101,846,082,051 and 214,246,493,748

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Solution

The third proportional to 101,846,082,051 and 214,246,493,748 is: 450,695,394,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846,082,051 : 214,246,493,748 = 214,246,493,748 : x
  2. Step 2: Convert to fraction form
    101,846,082,051/214,246,493,748 = 214,246,493,748/x
  3. Step 3: Cross multiply
    101,846,082,051x = 214,246,493,748 × 214,246,493,748
  4. Step 4: Simplify right side
    101,846,082,051x = 45,901,560,083,311,799,304,192
  5. Step 5: Solve for x
    x = 45,901,560,083,311,799,304,192/101,846,082,051
  6. Step 6: Final answer
    x = 450,695,394,058.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.