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Finding the Third Proportional to 102,000.94 and 219,054.38

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Solution

The third proportional to 102,000.94 and 219,054.38 is: 470,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.94 : 219,054.38 = 219,054.38 : x
  2. Step 2: Convert to fraction form
    102,000.94/219,054.38 = 219,054.38/x
  3. Step 3: Cross multiply
    102,000.94x = 219,054.38 × 219,054.38
  4. Step 4: Simplify right side
    102,000.94x = 47,984,819,206.64
  5. Step 5: Solve for x
    x = 47,984,819,206.64/102,000.94
  6. Step 6: Final answer
    x = 470,435.08

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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.