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Finding the Third Proportional to 105,269.63 and 215,460

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Solution

The third proportional to 105,269.63 and 215,460 is: 440,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,269.63 : 215,460 = 215,460 : x
  2. Step 2: Convert to fraction form
    105,269.63/215,460 = 215,460/x
  3. Step 3: Cross multiply
    105,269.63x = 215,460 × 215,460
  4. Step 4: Simplify right side
    105,269.63x = 46,423,011,600
  5. Step 5: Solve for x
    x = 46,423,011,600/105,269.63
  6. Step 6: Final answer
    x = 440,991.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.