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Finding the Third Proportional to 99,905.63 and 213,981.75

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Solution

The third proportional to 99,905.63 and 213,981.75 is: 458,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,905.63 : 213,981.75 = 213,981.75 : x
  2. Step 2: Convert to fraction form
    99,905.63/213,981.75 = 213,981.75/x
  3. Step 3: Cross multiply
    99,905.63x = 213,981.75 × 213,981.75
  4. Step 4: Simplify right side
    99,905.63x = 45,788,189,333.06
  5. Step 5: Solve for x
    x = 45,788,189,333.06/99,905.63
  6. Step 6: Final answer
    x = 458,314.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.