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Finding the Third Proportional to 99,480 and 216,274

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Solution

The third proportional to 99,480 and 216,274 is: 470,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,480 : 216,274 = 216,274 : x
  2. Step 2: Convert to fraction form
    99,480/216,274 = 216,274/x
  3. Step 3: Cross multiply
    99,480x = 216,274 × 216,274
  4. Step 4: Simplify right side
    99,480x = 46,774,443,076
  5. Step 5: Solve for x
    x = 46,774,443,076/99,480
  6. Step 6: Final answer
    x = 470,189.42

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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.