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Finding the Third Proportional to 46,416 and 100,221

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Solution

The third proportional to 46,416 and 100,221 is: 216,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416 : 100,221 = 100,221 : x
  2. Step 2: Convert to fraction form
    46,416/100,221 = 100,221/x
  3. Step 3: Cross multiply
    46,416x = 100,221 × 100,221
  4. Step 4: Simplify right side
    46,416x = 10,044,248,841
  5. Step 5: Solve for x
    x = 10,044,248,841/46,416
  6. Step 6: Final answer
    x = 216,396.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.