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Finding the Third Proportional to 106,308.70 and 164,486.32

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Solution

The third proportional to 106,308.70 and 164,486.32 is: 254,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308.70 : 164,486.32 = 164,486.32 : x
  2. Step 2: Convert to fraction form
    106,308.70/164,486.32 = 164,486.32/x
  3. Step 3: Cross multiply
    106,308.70x = 164,486.32 × 164,486.32
  4. Step 4: Simplify right side
    106,308.70x = 27,055,749,569.95
  5. Step 5: Solve for x
    x = 27,055,749,569.95/106,308.70
  6. Step 6: Final answer
    x = 254,501.74

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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.