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Finding the Third Proportional to 114,098.63 and 236,175.75

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Solution

The third proportional to 114,098.63 and 236,175.75 is: 488,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.63 : 236,175.75 = 236,175.75 : x
  2. Step 2: Convert to fraction form
    114,098.63/236,175.75 = 236,175.75/x
  3. Step 3: Cross multiply
    114,098.63x = 236,175.75 × 236,175.75
  4. Step 4: Simplify right side
    114,098.63x = 55,778,984,888.06
  5. Step 5: Solve for x
    x = 55,778,984,888.06/114,098.63
  6. Step 6: Final answer
    x = 488,866.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.