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Finding the Third Proportional to 116,929.41 and 188,314.88

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Solution

The third proportional to 116,929.41 and 188,314.88 is: 303,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,929.41 : 188,314.88 = 188,314.88 : x
  2. Step 2: Convert to fraction form
    116,929.41/188,314.88 = 188,314.88/x
  3. Step 3: Cross multiply
    116,929.41x = 188,314.88 × 188,314.88
  4. Step 4: Simplify right side
    116,929.41x = 35,462,492,146.27
  5. Step 5: Solve for x
    x = 35,462,492,146.27/116,929.41
  6. Step 6: Final answer
    x = 303,281.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.