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Finding the Third Proportional to 107,429.63 and 234,117

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Solution

The third proportional to 107,429.63 and 234,117 is: 510,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,429.63 : 234,117 = 234,117 : x
  2. Step 2: Convert to fraction form
    107,429.63/234,117 = 234,117/x
  3. Step 3: Cross multiply
    107,429.63x = 234,117 × 234,117
  4. Step 4: Simplify right side
    107,429.63x = 54,810,769,689
  5. Step 5: Solve for x
    x = 54,810,769,689/107,429.63
  6. Step 6: Final answer
    x = 510,201.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.