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Finding the Third Proportional to 46,024.88 and 96,140.25

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Solution

The third proportional to 46,024.88 and 96,140.25 is: 200,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024.88 : 96,140.25 = 96,140.25 : x
  2. Step 2: Convert to fraction form
    46,024.88/96,140.25 = 96,140.25/x
  3. Step 3: Cross multiply
    46,024.88x = 96,140.25 × 96,140.25
  4. Step 4: Simplify right side
    46,024.88x = 9,242,947,670.06
  5. Step 5: Solve for x
    x = 9,242,947,670.06/46,024.88
  6. Step 6: Final answer
    x = 200,825.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.