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Finding the Third Proportional to 46,449 and 99,459

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Solution

The third proportional to 46,449 and 99,459 is: 212,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,449 : 99,459 = 99,459 : x
  2. Step 2: Convert to fraction form
    46,449/99,459 = 99,459/x
  3. Step 3: Cross multiply
    46,449x = 99,459 × 99,459
  4. Step 4: Simplify right side
    46,449x = 9,892,092,681
  5. Step 5: Solve for x
    x = 9,892,092,681/46,449
  6. Step 6: Final answer
    x = 212,966.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.