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Finding the Third Proportional to 112,181,169 and 172,324,005

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Solution

The third proportional to 112,181,169 and 172,324,005 is: 264,710,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,181,169 : 172,324,005 = 172,324,005 : x
  2. Step 2: Convert to fraction form
    112,181,169/172,324,005 = 172,324,005/x
  3. Step 3: Cross multiply
    112,181,169x = 172,324,005 × 172,324,005
  4. Step 4: Simplify right side
    112,181,169x = 29,695,562,699,240,024
  5. Step 5: Solve for x
    x = 29,695,562,699,240,024/112,181,169
  6. Step 6: Final answer
    x = 264,710,761.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.