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Finding the Third Proportional to 99,835 and 216,284

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Solution

The third proportional to 99,835 and 216,284 is: 468,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,835 : 216,284 = 216,284 : x
  2. Step 2: Convert to fraction form
    99,835/216,284 = 216,284/x
  3. Step 3: Cross multiply
    99,835x = 216,284 × 216,284
  4. Step 4: Simplify right side
    99,835x = 46,778,768,656
  5. Step 5: Solve for x
    x = 46,778,768,656/99,835
  6. Step 6: Final answer
    x = 468,560.81

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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.