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Finding the Third Proportional to 38,941.88 and 85,090.78

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Solution

The third proportional to 38,941.88 and 85,090.78 is: 185,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941.88 : 85,090.78 = 85,090.78 : x
  2. Step 2: Convert to fraction form
    38,941.88/85,090.78 = 85,090.78/x
  3. Step 3: Cross multiply
    38,941.88x = 85,090.78 × 85,090.78
  4. Step 4: Simplify right side
    38,941.88x = 7,240,441,053.74
  5. Step 5: Solve for x
    x = 7,240,441,053.74/38,941.88
  6. Step 6: Final answer
    x = 185,929.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.