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Finding the Third Proportional to 45,009.50 and 96,944

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Solution

The third proportional to 45,009.50 and 96,944 is: 208,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009.50 : 96,944 = 96,944 : x
  2. Step 2: Convert to fraction form
    45,009.50/96,944 = 96,944/x
  3. Step 3: Cross multiply
    45,009.50x = 96,944 × 96,944
  4. Step 4: Simplify right side
    45,009.50x = 9,398,139,136
  5. Step 5: Solve for x
    x = 9,398,139,136/45,009.50
  6. Step 6: Final answer
    x = 208,803.46

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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.