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Finding the Third Proportional to 48,308.06 and 103,037.06

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Solution

The third proportional to 48,308.06 and 103,037.06 is: 219,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,308.06 : 103,037.06 = 103,037.06 : x
  2. Step 2: Convert to fraction form
    48,308.06/103,037.06 = 103,037.06/x
  3. Step 3: Cross multiply
    48,308.06x = 103,037.06 × 103,037.06
  4. Step 4: Simplify right side
    48,308.06x = 10,616,636,248.63
  5. Step 5: Solve for x
    x = 10,616,636,248.63/48,308.06
  6. Step 6: Final answer
    x = 219,769.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.