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Finding the Third Proportional to 46,476 and 100,402

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Solution

The third proportional to 46,476 and 100,402 is: 216,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476 : 100,402 = 100,402 : x
  2. Step 2: Convert to fraction form
    46,476/100,402 = 100,402/x
  3. Step 3: Cross multiply
    46,476x = 100,402 × 100,402
  4. Step 4: Simplify right side
    46,476x = 10,080,561,604
  5. Step 5: Solve for x
    x = 10,080,561,604/46,476
  6. Step 6: Final answer
    x = 216,898.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.