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Finding the Third Proportional to 46,676 and 101,776

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Solution

The third proportional to 46,676 and 101,776 is: 221,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676 : 101,776 = 101,776 : x
  2. Step 2: Convert to fraction form
    46,676/101,776 = 101,776/x
  3. Step 3: Cross multiply
    46,676x = 101,776 × 101,776
  4. Step 4: Simplify right side
    46,676x = 10,358,354,176
  5. Step 5: Solve for x
    x = 10,358,354,176/46,676
  6. Step 6: Final answer
    x = 221,920.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.