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Finding the Third Proportional to 99,818.50 and 146,807

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Solution

The third proportional to 99,818.50 and 146,807 is: 215,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,818.50 : 146,807 = 146,807 : x
  2. Step 2: Convert to fraction form
    99,818.50/146,807 = 146,807/x
  3. Step 3: Cross multiply
    99,818.50x = 146,807 × 146,807
  4. Step 4: Simplify right side
    99,818.50x = 21,552,295,249
  5. Step 5: Solve for x
    x = 21,552,295,249/99,818.50
  6. Step 6: Final answer
    x = 215,914.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.