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Finding the Third Proportional to 96,611.63 and 212,491.13

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Solution

The third proportional to 96,611.63 and 212,491.13 is: 467,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,611.63 : 212,491.13 = 212,491.13 : x
  2. Step 2: Convert to fraction form
    96,611.63/212,491.13 = 212,491.13/x
  3. Step 3: Cross multiply
    96,611.63x = 212,491.13 × 212,491.13
  4. Step 4: Simplify right side
    96,611.63x = 45,152,478,203.77
  5. Step 5: Solve for x
    x = 45,152,478,203.77/96,611.63
  6. Step 6: Final answer
    x = 467,360.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.