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Finding the Third Proportional to 116,098.50 and 237,117

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Solution

The third proportional to 116,098.50 and 237,117 is: 484,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,098.50 : 237,117 = 237,117 : x
  2. Step 2: Convert to fraction form
    116,098.50/237,117 = 237,117/x
  3. Step 3: Cross multiply
    116,098.50x = 237,117 × 237,117
  4. Step 4: Simplify right side
    116,098.50x = 56,224,471,689
  5. Step 5: Solve for x
    x = 56,224,471,689/116,098.50
  6. Step 6: Final answer
    x = 484,282.50

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.