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Finding the Third Proportional to 103,610 and 214,590

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Solution

The third proportional to 103,610 and 214,590 is: 444,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,610 : 214,590 = 214,590 : x
  2. Step 2: Convert to fraction form
    103,610/214,590 = 214,590/x
  3. Step 3: Cross multiply
    103,610x = 214,590 × 214,590
  4. Step 4: Simplify right side
    103,610x = 46,048,868,100
  5. Step 5: Solve for x
    x = 46,048,868,100/103,610
  6. Step 6: Final answer
    x = 444,444.24

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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.