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Finding the Third Proportional to 108,671.63 and 235,963.13

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Solution

The third proportional to 108,671.63 and 235,963.13 is: 512,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,671.63 : 235,963.13 = 235,963.13 : x
  2. Step 2: Convert to fraction form
    108,671.63/235,963.13 = 235,963.13/x
  3. Step 3: Cross multiply
    108,671.63x = 235,963.13 × 235,963.13
  4. Step 4: Simplify right side
    108,671.63x = 55,678,596,359.77
  5. Step 5: Solve for x
    x = 55,678,596,359.77/108,671.63
  6. Step 6: Final answer
    x = 512,356.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.