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Finding the Third Proportional to 194,103 and 424,187.50

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Solution

The third proportional to 194,103 and 424,187.50 is: 927,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,103 : 424,187.50 = 424,187.50 : x
  2. Step 2: Convert to fraction form
    194,103/424,187.50 = 424,187.50/x
  3. Step 3: Cross multiply
    194,103x = 424,187.50 × 424,187.50
  4. Step 4: Simplify right side
    194,103x = 179,935,035,156.25
  5. Step 5: Solve for x
    x = 179,935,035,156.25/194,103
  6. Step 6: Final answer
    x = 927,008.01

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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.