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Finding the Third Proportional to 94,967 and 202,646

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Solution

The third proportional to 94,967 and 202,646 is: 432,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,967 : 202,646 = 202,646 : x
  2. Step 2: Convert to fraction form
    94,967/202,646 = 202,646/x
  3. Step 3: Cross multiply
    94,967x = 202,646 × 202,646
  4. Step 4: Simplify right side
    94,967x = 41,065,401,316
  5. Step 5: Solve for x
    x = 41,065,401,316/94,967
  6. Step 6: Final answer
    x = 432,417.59

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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.