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Finding the Third Proportional to 70,483.71 and 154,922.84

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Solution

The third proportional to 70,483.71 and 154,922.84 is: 340,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,483.71 : 154,922.84 = 154,922.84 : x
  2. Step 2: Convert to fraction form
    70,483.71/154,922.84 = 154,922.84/x
  3. Step 3: Cross multiply
    70,483.71x = 154,922.84 × 154,922.84
  4. Step 4: Simplify right side
    70,483.71x = 24,001,085,094.92
  5. Step 5: Solve for x
    x = 24,001,085,094.92/70,483.71
  6. Step 6: Final answer
    x = 340,519.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.