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Finding the Third Proportional to 46,441 and 98,402

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Solution

The third proportional to 46,441 and 98,402 is: 208,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441 : 98,402 = 98,402 : x
  2. Step 2: Convert to fraction form
    46,441/98,402 = 98,402/x
  3. Step 3: Cross multiply
    46,441x = 98,402 × 98,402
  4. Step 4: Simplify right side
    46,441x = 9,682,953,604
  5. Step 5: Solve for x
    x = 9,682,953,604/46,441
  6. Step 6: Final answer
    x = 208,500.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.