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Finding the Third Proportional to 48,137.63 and 99,343.13

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Solution

The third proportional to 48,137.63 and 99,343.13 is: 205,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,137.63 : 99,343.13 = 99,343.13 : x
  2. Step 2: Convert to fraction form
    48,137.63/99,343.13 = 99,343.13/x
  3. Step 3: Cross multiply
    48,137.63x = 99,343.13 × 99,343.13
  4. Step 4: Simplify right side
    48,137.63x = 9,869,056,484.77
  5. Step 5: Solve for x
    x = 9,869,056,484.77/48,137.63
  6. Step 6: Final answer
    x = 205,017.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.