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Finding the Third Proportional to 98,470.69 and 214,763.91

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Solution

The third proportional to 98,470.69 and 214,763.91 is: 468,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.69 : 214,763.91 = 214,763.91 : x
  2. Step 2: Convert to fraction form
    98,470.69/214,763.91 = 214,763.91/x
  3. Step 3: Cross multiply
    98,470.69x = 214,763.91 × 214,763.91
  4. Step 4: Simplify right side
    98,470.69x = 46,123,535,427.76
  5. Step 5: Solve for x
    x = 46,123,535,427.76/98,470.69
  6. Step 6: Final answer
    x = 468,398.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.