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Finding the Third Proportional to 100,211 and 208,714.50

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Solution

The third proportional to 100,211 and 208,714.50 is: 434,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,211 : 208,714.50 = 208,714.50 : x
  2. Step 2: Convert to fraction form
    100,211/208,714.50 = 208,714.50/x
  3. Step 3: Cross multiply
    100,211x = 208,714.50 × 208,714.50
  4. Step 4: Simplify right side
    100,211x = 43,561,742,510.25
  5. Step 5: Solve for x
    x = 43,561,742,510.25/100,211
  6. Step 6: Final answer
    x = 434,700.21

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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.