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Finding the Third Proportional to 92,984.63 and 200,728.13

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Solution

The third proportional to 92,984.63 and 200,728.13 is: 433,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,984.63 : 200,728.13 = 200,728.13 : x
  2. Step 2: Convert to fraction form
    92,984.63/200,728.13 = 200,728.13/x
  3. Step 3: Cross multiply
    92,984.63x = 200,728.13 × 200,728.13
  4. Step 4: Simplify right side
    92,984.63x = 40,291,780,166.02
  5. Step 5: Solve for x
    x = 40,291,780,166.02/92,984.63
  6. Step 6: Final answer
    x = 433,316.59

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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.