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Finding the Third Proportional to 103,618 and 214,607

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Solution

The third proportional to 103,618 and 214,607 is: 444,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 214,607 = 214,607 : x
  2. Step 2: Convert to fraction form
    103,618/214,607 = 214,607/x
  3. Step 3: Cross multiply
    103,618x = 214,607 × 214,607
  4. Step 4: Simplify right side
    103,618x = 46,056,164,449
  5. Step 5: Solve for x
    x = 46,056,164,449/103,618
  6. Step 6: Final answer
    x = 444,480.35

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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.