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Finding the Third Proportional to 108,896.63 and 163,345.50

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Solution

The third proportional to 108,896.63 and 163,345.50 is: 245,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,896.63 : 163,345.50 = 163,345.50 : x
  2. Step 2: Convert to fraction form
    108,896.63/163,345.50 = 163,345.50/x
  3. Step 3: Cross multiply
    108,896.63x = 163,345.50 × 163,345.50
  4. Step 4: Simplify right side
    108,896.63x = 26,681,752,370.25
  5. Step 5: Solve for x
    x = 26,681,752,370.25/108,896.63
  6. Step 6: Final answer
    x = 245,019.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.