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Finding the Third Proportional to 102,994.03 and 212,549.06

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Solution

The third proportional to 102,994.03 and 212,549.06 is: 438,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,994.03 : 212,549.06 = 212,549.06 : x
  2. Step 2: Convert to fraction form
    102,994.03/212,549.06 = 212,549.06/x
  3. Step 3: Cross multiply
    102,994.03x = 212,549.06 × 212,549.06
  4. Step 4: Simplify right side
    102,994.03x = 45,177,103,969.63
  5. Step 5: Solve for x
    x = 45,177,103,969.63/102,994.03
  6. Step 6: Final answer
    x = 438,638.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.