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Finding the Third Proportional to 103,956.50 and 191,714

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Solution

The third proportional to 103,956.50 and 191,714 is: 353,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956.50 : 191,714 = 191,714 : x
  2. Step 2: Convert to fraction form
    103,956.50/191,714 = 191,714/x
  3. Step 3: Cross multiply
    103,956.50x = 191,714 × 191,714
  4. Step 4: Simplify right side
    103,956.50x = 36,754,257,796
  5. Step 5: Solve for x
    x = 36,754,257,796/103,956.50
  6. Step 6: Final answer
    x = 353,554.21

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.