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Finding the Third Proportional to 108,707.81 and 236,714.06

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Solution

The third proportional to 108,707.81 and 236,714.06 is: 515,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,707.81 : 236,714.06 = 236,714.06 : x
  2. Step 2: Convert to fraction form
    108,707.81/236,714.06 = 236,714.06/x
  3. Step 3: Cross multiply
    108,707.81x = 236,714.06 × 236,714.06
  4. Step 4: Simplify right side
    108,707.81x = 56,033,547,385.25
  5. Step 5: Solve for x
    x = 56,033,547,385.25/108,707.81
  6. Step 6: Final answer
    x = 515,450.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.