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Finding the Third Proportional to 94,071.38 and 201,234.38

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Solution

The third proportional to 94,071.38 and 201,234.38 is: 430,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,071.38 : 201,234.38 = 201,234.38 : x
  2. Step 2: Convert to fraction form
    94,071.38/201,234.38 = 201,234.38/x
  3. Step 3: Cross multiply
    94,071.38x = 201,234.38 × 201,234.38
  4. Step 4: Simplify right side
    94,071.38x = 40,495,273,681.64
  5. Step 5: Solve for x
    x = 40,495,273,681.64/94,071.38
  6. Step 6: Final answer
    x = 430,473.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.