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Finding the Third Proportional to 94,316 and 202,130

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Solution

The third proportional to 94,316 and 202,130 is: 433,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,316 : 202,130 = 202,130 : x
  2. Step 2: Convert to fraction form
    94,316/202,130 = 202,130/x
  3. Step 3: Cross multiply
    94,316x = 202,130 × 202,130
  4. Step 4: Simplify right side
    94,316x = 40,856,536,900
  5. Step 5: Solve for x
    x = 40,856,536,900/94,316
  6. Step 6: Final answer
    x = 433,187.76

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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.