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Finding the Third Proportional to 46,914 and 101,658

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Solution

The third proportional to 46,914 and 101,658 is: 220,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,914 : 101,658 = 101,658 : x
  2. Step 2: Convert to fraction form
    46,914/101,658 = 101,658/x
  3. Step 3: Cross multiply
    46,914x = 101,658 × 101,658
  4. Step 4: Simplify right side
    46,914x = 10,334,348,964
  5. Step 5: Solve for x
    x = 10,334,348,964/46,914
  6. Step 6: Final answer
    x = 220,282.84

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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.