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Finding the Third Proportional to 46,752.82 and 100,152.07

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Solution

The third proportional to 46,752.82 and 100,152.07 is: 214,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752.82 : 100,152.07 = 100,152.07 : x
  2. Step 2: Convert to fraction form
    46,752.82/100,152.07 = 100,152.07/x
  3. Step 3: Cross multiply
    46,752.82x = 100,152.07 × 100,152.07
  4. Step 4: Simplify right side
    46,752.82x = 10,030,437,187.88
  5. Step 5: Solve for x
    x = 10,030,437,187.88/46,752.82
  6. Step 6: Final answer
    x = 214,541.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.