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Finding the Third Proportional to 103,152.23 and 218,724.05

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Solution

The third proportional to 103,152.23 and 218,724.05 is: 463,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,152.23 : 218,724.05 = 218,724.05 : x
  2. Step 2: Convert to fraction form
    103,152.23/218,724.05 = 218,724.05/x
  3. Step 3: Cross multiply
    103,152.23x = 218,724.05 × 218,724.05
  4. Step 4: Simplify right side
    103,152.23x = 47,840,208,681.38
  5. Step 5: Solve for x
    x = 47,840,208,681.38/103,152.23
  6. Step 6: Final answer
    x = 463,782.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.