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Finding the Third Proportional to 102,808.93 and 153,357.68

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Solution

The third proportional to 102,808.93 and 153,357.68 is: 228,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.93 : 153,357.68 = 153,357.68 : x
  2. Step 2: Convert to fraction form
    102,808.93/153,357.68 = 153,357.68/x
  3. Step 3: Cross multiply
    102,808.93x = 153,357.68 × 153,357.68
  4. Step 4: Simplify right side
    102,808.93x = 23,518,577,919.13
  5. Step 5: Solve for x
    x = 23,518,577,919.13/102,808.93
  6. Step 6: Final answer
    x = 228,760.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.