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Finding the Third Proportional to 103,059 and 219,618

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Solution

The third proportional to 103,059 and 219,618 is: 468,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,059 : 219,618 = 219,618 : x
  2. Step 2: Convert to fraction form
    103,059/219,618 = 219,618/x
  3. Step 3: Cross multiply
    103,059x = 219,618 × 219,618
  4. Step 4: Simplify right side
    103,059x = 48,232,065,924
  5. Step 5: Solve for x
    x = 48,232,065,924/103,059
  6. Step 6: Final answer
    x = 468,004.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.