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Finding the Third Proportional to 96,977.25 and 149,779.13

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Solution

The third proportional to 96,977.25 and 149,779.13 is: 231,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,977.25 : 149,779.13 = 149,779.13 : x
  2. Step 2: Convert to fraction form
    96,977.25/149,779.13 = 149,779.13/x
  3. Step 3: Cross multiply
    96,977.25x = 149,779.13 × 149,779.13
  4. Step 4: Simplify right side
    96,977.25x = 22,433,786,285.77
  5. Step 5: Solve for x
    x = 22,433,786,285.77/96,977.25
  6. Step 6: Final answer
    x = 231,330.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.