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Finding the Third Proportional to 94,938 and 202,146

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Solution

The third proportional to 94,938 and 202,146 is: 430,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,938 : 202,146 = 202,146 : x
  2. Step 2: Convert to fraction form
    94,938/202,146 = 202,146/x
  3. Step 3: Cross multiply
    94,938x = 202,146 × 202,146
  4. Step 4: Simplify right side
    94,938x = 40,863,005,316
  5. Step 5: Solve for x
    x = 40,863,005,316/94,938
  6. Step 6: Final answer
    x = 430,417.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.