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Finding the Third Proportional to 100,445.63 and 136,418.06

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Solution

The third proportional to 100,445.63 and 136,418.06 is: 185,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,445.63 : 136,418.06 = 136,418.06 : x
  2. Step 2: Convert to fraction form
    100,445.63/136,418.06 = 136,418.06/x
  3. Step 3: Cross multiply
    100,445.63x = 136,418.06 × 136,418.06
  4. Step 4: Simplify right side
    100,445.63x = 18,609,887,776.25
  5. Step 5: Solve for x
    x = 18,609,887,776.25/100,445.63
  6. Step 6: Final answer
    x = 185,273.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.