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Finding the Third Proportional to 83,887,336.13 and 182,295,235.13

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Solution

The third proportional to 83,887,336.13 and 182,295,235.13 is: 396,145,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,887,336.13 : 182,295,235.13 = 182,295,235.13 : x
  2. Step 2: Convert to fraction form
    83,887,336.13/182,295,235.13 = 182,295,235.13/x
  3. Step 3: Cross multiply
    83,887,336.13x = 182,295,235.13 × 182,295,235.13
  4. Step 4: Simplify right side
    83,887,336.13x = 33,231,552,749,279,032
  5. Step 5: Solve for x
    x = 33,231,552,749,279,032/83,887,336.13
  6. Step 6: Final answer
    x = 396,145,047.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.