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Finding the Third Proportional to 130,698.56 and 193,618.69

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Solution

The third proportional to 130,698.56 and 193,618.69 is: 286,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,698.56 : 193,618.69 = 193,618.69 : x
  2. Step 2: Convert to fraction form
    130,698.56/193,618.69 = 193,618.69/x
  3. Step 3: Cross multiply
    130,698.56x = 193,618.69 × 193,618.69
  4. Step 4: Simplify right side
    130,698.56x = 37,488,196,149.22
  5. Step 5: Solve for x
    x = 37,488,196,149.22/130,698.56
  6. Step 6: Final answer
    x = 286,829.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.