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Finding the Third Proportional to 130,387.22 and 197,409.66

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Solution

The third proportional to 130,387.22 and 197,409.66 is: 298,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,387.22 : 197,409.66 = 197,409.66 : x
  2. Step 2: Convert to fraction form
    130,387.22/197,409.66 = 197,409.66/x
  3. Step 3: Cross multiply
    130,387.22x = 197,409.66 × 197,409.66
  4. Step 4: Simplify right side
    130,387.22x = 38,970,572,380.74
  5. Step 5: Solve for x
    x = 38,970,572,380.74/130,387.22
  6. Step 6: Final answer
    x = 298,883.38

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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.