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Finding the Third Proportional to 103,202 and 223,251.50

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Solution

The third proportional to 103,202 and 223,251.50 is: 482,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202 : 223,251.50 = 223,251.50 : x
  2. Step 2: Convert to fraction form
    103,202/223,251.50 = 223,251.50/x
  3. Step 3: Cross multiply
    103,202x = 223,251.50 × 223,251.50
  4. Step 4: Simplify right side
    103,202x = 49,841,232,252.25
  5. Step 5: Solve for x
    x = 49,841,232,252.25/103,202
  6. Step 6: Final answer
    x = 482,948.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.