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Finding the Third Proportional to 42,357 and 98,479.50

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Solution

The third proportional to 42,357 and 98,479.50 is: 228,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357 : 98,479.50 = 98,479.50 : x
  2. Step 2: Convert to fraction form
    42,357/98,479.50 = 98,479.50/x
  3. Step 3: Cross multiply
    42,357x = 98,479.50 × 98,479.50
  4. Step 4: Simplify right side
    42,357x = 9,698,211,920.25
  5. Step 5: Solve for x
    x = 9,698,211,920.25/42,357
  6. Step 6: Final answer
    x = 228,963.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.