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Finding the Third Proportional to 46,647.75 and 100,666.50

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Solution

The third proportional to 46,647.75 and 100,666.50 is: 217,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647.75 : 100,666.50 = 100,666.50 : x
  2. Step 2: Convert to fraction form
    46,647.75/100,666.50 = 100,666.50/x
  3. Step 3: Cross multiply
    46,647.75x = 100,666.50 × 100,666.50
  4. Step 4: Simplify right side
    46,647.75x = 10,133,744,222.25
  5. Step 5: Solve for x
    x = 10,133,744,222.25/46,647.75
  6. Step 6: Final answer
    x = 217,239.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.