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Finding the Third Proportional to 46,053.50 and 98,833

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Solution

The third proportional to 46,053.50 and 98,833 is: 212,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053.50 : 98,833 = 98,833 : x
  2. Step 2: Convert to fraction form
    46,053.50/98,833 = 98,833/x
  3. Step 3: Cross multiply
    46,053.50x = 98,833 × 98,833
  4. Step 4: Simplify right side
    46,053.50x = 9,767,961,889
  5. Step 5: Solve for x
    x = 9,767,961,889/46,053.50
  6. Step 6: Final answer
    x = 212,100.32

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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.