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Finding the Third Proportional to 194,653.13 and 418,415.63

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Solution

The third proportional to 194,653.13 and 418,415.63 is: 899,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,653.13 : 418,415.63 = 418,415.63 : x
  2. Step 2: Convert to fraction form
    194,653.13/418,415.63 = 418,415.63/x
  3. Step 3: Cross multiply
    194,653.13x = 418,415.63 × 418,415.63
  4. Step 4: Simplify right side
    194,653.13x = 175,071,635,244.14
  5. Step 5: Solve for x
    x = 175,071,635,244.14/194,653.13
  6. Step 6: Final answer
    x = 899,403.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.