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Finding the Third Proportional to 48,897.84 and 103,137.05

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Solution

The third proportional to 48,897.84 and 103,137.05 is: 217,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897.84 : 103,137.05 = 103,137.05 : x
  2. Step 2: Convert to fraction form
    48,897.84/103,137.05 = 103,137.05/x
  3. Step 3: Cross multiply
    48,897.84x = 103,137.05 × 103,137.05
  4. Step 4: Simplify right side
    48,897.84x = 10,637,250,438.10
  5. Step 5: Solve for x
    x = 10,637,250,438.10/48,897.84
  6. Step 6: Final answer
    x = 217,540.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.