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Finding the Third Proportional to 105,325.50 and 219,402

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Solution

The third proportional to 105,325.50 and 219,402 is: 457,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,325.50 : 219,402 = 219,402 : x
  2. Step 2: Convert to fraction form
    105,325.50/219,402 = 219,402/x
  3. Step 3: Cross multiply
    105,325.50x = 219,402 × 219,402
  4. Step 4: Simplify right side
    105,325.50x = 48,137,237,604
  5. Step 5: Solve for x
    x = 48,137,237,604/105,325.50
  6. Step 6: Final answer
    x = 457,033.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.