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Finding the Third Proportional to 99,804 and 215,160

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Solution

The third proportional to 99,804 and 215,160 is: 463,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804 : 215,160 = 215,160 : x
  2. Step 2: Convert to fraction form
    99,804/215,160 = 215,160/x
  3. Step 3: Cross multiply
    99,804x = 215,160 × 215,160
  4. Step 4: Simplify right side
    99,804x = 46,293,825,600
  5. Step 5: Solve for x
    x = 46,293,825,600/99,804
  6. Step 6: Final answer
    x = 463,847.40

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