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Finding the Third Proportional to 116,852 and 190,789

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Solution

The third proportional to 116,852 and 190,789 is: 311,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,852 : 190,789 = 190,789 : x
  2. Step 2: Convert to fraction form
    116,852/190,789 = 190,789/x
  3. Step 3: Cross multiply
    116,852x = 190,789 × 190,789
  4. Step 4: Simplify right side
    116,852x = 36,400,442,521
  5. Step 5: Solve for x
    x = 36,400,442,521/116,852
  6. Step 6: Final answer
    x = 311,508.94

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.