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Finding the Third Proportional to 101,973 and 223,210.50

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Solution

The third proportional to 101,973 and 223,210.50 is: 488,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,973 : 223,210.50 = 223,210.50 : x
  2. Step 2: Convert to fraction form
    101,973/223,210.50 = 223,210.50/x
  3. Step 3: Cross multiply
    101,973x = 223,210.50 × 223,210.50
  4. Step 4: Simplify right side
    101,973x = 49,822,927,310.25
  5. Step 5: Solve for x
    x = 49,822,927,310.25/101,973
  6. Step 6: Final answer
    x = 488,589.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.