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Finding the Third Proportional to 132,308.63 and 199,695.38

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Solution

The third proportional to 132,308.63 and 199,695.38 is: 301,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,308.63 : 199,695.38 = 199,695.38 : x
  2. Step 2: Convert to fraction form
    132,308.63/199,695.38 = 199,695.38/x
  3. Step 3: Cross multiply
    132,308.63x = 199,695.38 × 199,695.38
  4. Step 4: Simplify right side
    132,308.63x = 39,878,242,796.39
  5. Step 5: Solve for x
    x = 39,878,242,796.39/132,308.63
  6. Step 6: Final answer
    x = 301,403.20

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Why These Related Problems?

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