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Finding the Third Proportional to 48,746.81 and 101,320.88

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Solution

The third proportional to 48,746.81 and 101,320.88 is: 210,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,746.81 : 101,320.88 = 101,320.88 : x
  2. Step 2: Convert to fraction form
    48,746.81/101,320.88 = 101,320.88/x
  3. Step 3: Cross multiply
    48,746.81x = 101,320.88 × 101,320.88
  4. Step 4: Simplify right side
    48,746.81x = 10,265,919,710.77
  5. Step 5: Solve for x
    x = 10,265,919,710.77/48,746.81
  6. Step 6: Final answer
    x = 210,596.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.