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Finding the Third Proportional to 45,873.84 and 93,041.16

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Solution

The third proportional to 45,873.84 and 93,041.16 is: 188,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,873.84 : 93,041.16 = 93,041.16 : x
  2. Step 2: Convert to fraction form
    45,873.84/93,041.16 = 93,041.16/x
  3. Step 3: Cross multiply
    45,873.84x = 93,041.16 × 93,041.16
  4. Step 4: Simplify right side
    45,873.84x = 8,656,656,756.34
  5. Step 5: Solve for x
    x = 8,656,656,756.34/45,873.84
  6. Step 6: Final answer
    x = 188,705.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.