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Finding the Third Proportional to 108,173.81 and 236,706.47

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Solution

The third proportional to 108,173.81 and 236,706.47 is: 517,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,173.81 : 236,706.47 = 236,706.47 : x
  2. Step 2: Convert to fraction form
    108,173.81/236,706.47 = 236,706.47/x
  3. Step 3: Cross multiply
    108,173.81x = 236,706.47 × 236,706.47
  4. Step 4: Simplify right side
    108,173.81x = 56,029,952,348.09
  5. Step 5: Solve for x
    x = 56,029,952,348.09/108,173.81
  6. Step 6: Final answer
    x = 517,962.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.