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Finding the Third Proportional to 93,466 and 202,707

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Solution

The third proportional to 93,466 and 202,707 is: 439,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,466 : 202,707 = 202,707 : x
  2. Step 2: Convert to fraction form
    93,466/202,707 = 202,707/x
  3. Step 3: Cross multiply
    93,466x = 202,707 × 202,707
  4. Step 4: Simplify right side
    93,466x = 41,090,127,849
  5. Step 5: Solve for x
    x = 41,090,127,849/93,466
  6. Step 6: Final answer
    x = 439,626.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.