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Finding the Third Proportional to 99,346 and 216,140

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Solution

The third proportional to 99,346 and 216,140 is: 470,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,346 : 216,140 = 216,140 : x
  2. Step 2: Convert to fraction form
    99,346/216,140 = 216,140/x
  3. Step 3: Cross multiply
    99,346x = 216,140 × 216,140
  4. Step 4: Simplify right side
    99,346x = 46,716,499,600
  5. Step 5: Solve for x
    x = 46,716,499,600/99,346
  6. Step 6: Final answer
    x = 470,240.37

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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.