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Finding the Third Proportional to 166,368,716.25 and 258,625,671.75

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Solution

The third proportional to 166,368,716.25 and 258,625,671.75 is: 402,042,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,368,716.25 : 258,625,671.75 = 258,625,671.75 : x
  2. Step 2: Convert to fraction form
    166,368,716.25/258,625,671.75 = 258,625,671.75/x
  3. Step 3: Cross multiply
    166,368,716.25x = 258,625,671.75 × 258,625,671.75
  4. Step 4: Simplify right side
    166,368,716.25x = 66,887,238,088,138,752
  5. Step 5: Solve for x
    x = 66,887,238,088,138,752/166,368,716.25
  6. Step 6: Final answer
    x = 402,042,160.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.