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Finding the Third Proportional to 104,900.63 and 158,221.88

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Solution

The third proportional to 104,900.63 and 158,221.88 is: 238,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,900.63 : 158,221.88 = 158,221.88 : x
  2. Step 2: Convert to fraction form
    104,900.63/158,221.88 = 158,221.88/x
  3. Step 3: Cross multiply
    104,900.63x = 158,221.88 × 158,221.88
  4. Step 4: Simplify right side
    104,900.63x = 25,034,161,728.52
  5. Step 5: Solve for x
    x = 25,034,161,728.52/104,900.63
  6. Step 6: Final answer
    x = 238,646.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.