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Finding the Third Proportional to 106,411.22 and 232,801.59

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Solution

The third proportional to 106,411.22 and 232,801.59 is: 509,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.22 : 232,801.59 = 232,801.59 : x
  2. Step 2: Convert to fraction form
    106,411.22/232,801.59 = 232,801.59/x
  3. Step 3: Cross multiply
    106,411.22x = 232,801.59 × 232,801.59
  4. Step 4: Simplify right side
    106,411.22x = 54,196,582,052.54
  5. Step 5: Solve for x
    x = 54,196,582,052.54/106,411.22
  6. Step 6: Final answer
    x = 509,312.67

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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.