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Finding the Third Proportional to 46,026,692 and 99,226,692

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Solution

The third proportional to 46,026,692 and 99,226,692 is: 213,917,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026,692 : 99,226,692 = 99,226,692 : x
  2. Step 2: Convert to fraction form
    46,026,692/99,226,692 = 99,226,692/x
  3. Step 3: Cross multiply
    46,026,692x = 99,226,692 × 99,226,692
  4. Step 4: Simplify right side
    46,026,692x = 9,845,936,405,262,864
  5. Step 5: Solve for x
    x = 9,845,936,405,262,864/46,026,692
  6. Step 6: Final answer
    x = 213,917,967.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.