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Finding the Third Proportional to 46,462.50 and 100,377

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Solution

The third proportional to 46,462.50 and 100,377 is: 216,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462.50 : 100,377 = 100,377 : x
  2. Step 2: Convert to fraction form
    46,462.50/100,377 = 100,377/x
  3. Step 3: Cross multiply
    46,462.50x = 100,377 × 100,377
  4. Step 4: Simplify right side
    46,462.50x = 10,075,542,129
  5. Step 5: Solve for x
    x = 10,075,542,129/46,462.50
  6. Step 6: Final answer
    x = 216,853.21

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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.