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Finding the Third Proportional to 194,088.50 and 424,159.82

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Solution

The third proportional to 194,088.50 and 424,159.82 is: 926,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,088.50 : 424,159.82 = 424,159.82 : x
  2. Step 2: Convert to fraction form
    194,088.50/424,159.82 = 424,159.82/x
  3. Step 3: Cross multiply
    194,088.50x = 424,159.82 × 424,159.82
  4. Step 4: Simplify right side
    194,088.50x = 179,911,554,824.40
  5. Step 5: Solve for x
    x = 179,911,554,824.40/194,088.50
  6. Step 6: Final answer
    x = 926,956.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.