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Finding the Third Proportional to 103,985.50 and 212,888

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Solution

The third proportional to 103,985.50 and 212,888 is: 435,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,985.50 : 212,888 = 212,888 : x
  2. Step 2: Convert to fraction form
    103,985.50/212,888 = 212,888/x
  3. Step 3: Cross multiply
    103,985.50x = 212,888 × 212,888
  4. Step 4: Simplify right side
    103,985.50x = 45,321,300,544
  5. Step 5: Solve for x
    x = 45,321,300,544/103,985.50
  6. Step 6: Final answer
    x = 435,842.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.