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Finding the Third Proportional to 118,416.94 and 153,631.69

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Solution

The third proportional to 118,416.94 and 153,631.69 is: 199,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416.94 : 153,631.69 = 153,631.69 : x
  2. Step 2: Convert to fraction form
    118,416.94/153,631.69 = 153,631.69/x
  3. Step 3: Cross multiply
    118,416.94x = 153,631.69 × 153,631.69
  4. Step 4: Simplify right side
    118,416.94x = 23,602,695,404.10
  5. Step 5: Solve for x
    x = 23,602,695,404.10/118,416.94
  6. Step 6: Final answer
    x = 199,318.58

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.