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Finding the Third Proportional to 46,926.84 and 102,782.67

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Solution

The third proportional to 46,926.84 and 102,782.67 is: 225,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,926.84 : 102,782.67 = 102,782.67 : x
  2. Step 2: Convert to fraction form
    46,926.84/102,782.67 = 102,782.67/x
  3. Step 3: Cross multiply
    46,926.84x = 102,782.67 × 102,782.67
  4. Step 4: Simplify right side
    46,926.84x = 10,564,277,637.76
  5. Step 5: Solve for x
    x = 10,564,277,637.76/46,926.84
  6. Step 6: Final answer
    x = 225,122.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.