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Finding the Third Proportional to 103,618 and 222,332

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Solution

The third proportional to 103,618 and 222,332 is: 477,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 222,332 = 222,332 : x
  2. Step 2: Convert to fraction form
    103,618/222,332 = 222,332/x
  3. Step 3: Cross multiply
    103,618x = 222,332 × 222,332
  4. Step 4: Simplify right side
    103,618x = 49,431,518,224
  5. Step 5: Solve for x
    x = 49,431,518,224/103,618
  6. Step 6: Final answer
    x = 477,055.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.