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Finding the Third Proportional to 116,928 and 186,050.25

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Solution

The third proportional to 116,928 and 186,050.25 is: 296,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,928 : 186,050.25 = 186,050.25 : x
  2. Step 2: Convert to fraction form
    116,928/186,050.25 = 186,050.25/x
  3. Step 3: Cross multiply
    116,928x = 186,050.25 × 186,050.25
  4. Step 4: Simplify right side
    116,928x = 34,614,695,525.06
  5. Step 5: Solve for x
    x = 34,614,695,525.06/116,928
  6. Step 6: Final answer
    x = 296,034.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.