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Finding the Third Proportional to 99,199.13 and 214,079.63

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Solution

The third proportional to 99,199.13 and 214,079.63 is: 462,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,199.13 : 214,079.63 = 214,079.63 : x
  2. Step 2: Convert to fraction form
    99,199.13/214,079.63 = 214,079.63/x
  3. Step 3: Cross multiply
    99,199.13x = 214,079.63 × 214,079.63
  4. Step 4: Simplify right side
    99,199.13x = 45,830,085,840.14
  5. Step 5: Solve for x
    x = 45,830,085,840.14/99,199.13
  6. Step 6: Final answer
    x = 462,000.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.