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Finding the Third Proportional to 46,459 and 98,911

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Solution

The third proportional to 46,459 and 98,911 is: 210,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459 : 98,911 = 98,911 : x
  2. Step 2: Convert to fraction form
    46,459/98,911 = 98,911/x
  3. Step 3: Cross multiply
    46,459x = 98,911 × 98,911
  4. Step 4: Simplify right side
    46,459x = 9,783,385,921
  5. Step 5: Solve for x
    x = 9,783,385,921/46,459
  6. Step 6: Final answer
    x = 210,581.07

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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.