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Finding the Third Proportional to 130,005 and 199,548.56

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Solution

The third proportional to 130,005 and 199,548.56 is: 306,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,005 : 199,548.56 = 199,548.56 : x
  2. Step 2: Convert to fraction form
    130,005/199,548.56 = 199,548.56/x
  3. Step 3: Cross multiply
    130,005x = 199,548.56 × 199,548.56
  4. Step 4: Simplify right side
    130,005x = 39,819,628,795.82
  5. Step 5: Solve for x
    x = 39,819,628,795.82/130,005
  6. Step 6: Final answer
    x = 306,293.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.