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Finding the Third Proportional to 99,018 and 213,818.50

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Solution

The third proportional to 99,018 and 213,818.50 is: 461,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 213,818.50 = 213,818.50 : x
  2. Step 2: Convert to fraction form
    99,018/213,818.50 = 213,818.50/x
  3. Step 3: Cross multiply
    99,018x = 213,818.50 × 213,818.50
  4. Step 4: Simplify right side
    99,018x = 45,718,350,942.25
  5. Step 5: Solve for x
    x = 45,718,350,942.25/99,018
  6. Step 6: Final answer
    x = 461,717.58

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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.