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Finding the Third Proportional to 103,654 and 214,688

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Solution

The third proportional to 103,654 and 214,688 is: 444,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654 : 214,688 = 214,688 : x
  2. Step 2: Convert to fraction form
    103,654/214,688 = 214,688/x
  3. Step 3: Cross multiply
    103,654x = 214,688 × 214,688
  4. Step 4: Simplify right side
    103,654x = 46,090,937,344
  5. Step 5: Solve for x
    x = 46,090,937,344/103,654
  6. Step 6: Final answer
    x = 444,661.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.