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Finding the Third Proportional to 104,870.50 and 227,237

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Solution

The third proportional to 104,870.50 and 227,237 is: 492,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,870.50 : 227,237 = 227,237 : x
  2. Step 2: Convert to fraction form
    104,870.50/227,237 = 227,237/x
  3. Step 3: Cross multiply
    104,870.50x = 227,237 × 227,237
  4. Step 4: Simplify right side
    104,870.50x = 51,636,654,169
  5. Step 5: Solve for x
    x = 51,636,654,169/104,870.50
  6. Step 6: Final answer
    x = 492,384.93

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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.