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Finding the Third Proportional to 77,200.88 and 162,703.13

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Solution

The third proportional to 77,200.88 and 162,703.13 is: 342,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,200.88 : 162,703.13 = 162,703.13 : x
  2. Step 2: Convert to fraction form
    77,200.88/162,703.13 = 162,703.13/x
  3. Step 3: Cross multiply
    77,200.88x = 162,703.13 × 162,703.13
  4. Step 4: Simplify right side
    77,200.88x = 26,472,306,884.77
  5. Step 5: Solve for x
    x = 26,472,306,884.77/77,200.88
  6. Step 6: Final answer
    x = 342,901.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.