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Finding the Third Proportional to 45,829.50 and 96,271.50

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Solution

The third proportional to 45,829.50 and 96,271.50 is: 202,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829.50 : 96,271.50 = 96,271.50 : x
  2. Step 2: Convert to fraction form
    45,829.50/96,271.50 = 96,271.50/x
  3. Step 3: Cross multiply
    45,829.50x = 96,271.50 × 96,271.50
  4. Step 4: Simplify right side
    45,829.50x = 9,268,201,712.25
  5. Step 5: Solve for x
    x = 9,268,201,712.25/45,829.50
  6. Step 6: Final answer
    x = 202,232.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.