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Finding the Third Proportional to 131,630.06 and 216,216.84

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Solution

The third proportional to 131,630.06 and 216,216.84 is: 355,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,630.06 : 216,216.84 = 216,216.84 : x
  2. Step 2: Convert to fraction form
    131,630.06/216,216.84 = 216,216.84/x
  3. Step 3: Cross multiply
    131,630.06x = 216,216.84 × 216,216.84
  4. Step 4: Simplify right side
    131,630.06x = 46,749,723,521.21
  5. Step 5: Solve for x
    x = 46,749,723,521.21/131,630.06
  6. Step 6: Final answer
    x = 355,159.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.