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Finding the Third Proportional to 105,172.50 and 228,090

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Solution

The third proportional to 105,172.50 and 228,090 is: 494,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,172.50 : 228,090 = 228,090 : x
  2. Step 2: Convert to fraction form
    105,172.50/228,090 = 228,090/x
  3. Step 3: Cross multiply
    105,172.50x = 228,090 × 228,090
  4. Step 4: Simplify right side
    105,172.50x = 52,025,048,100
  5. Step 5: Solve for x
    x = 52,025,048,100/105,172.50
  6. Step 6: Final answer
    x = 494,663.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.