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Finding the Third Proportional to 96,205 and 147,998

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Solution

The third proportional to 96,205 and 147,998 is: 227,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,205 : 147,998 = 147,998 : x
  2. Step 2: Convert to fraction form
    96,205/147,998 = 147,998/x
  3. Step 3: Cross multiply
    96,205x = 147,998 × 147,998
  4. Step 4: Simplify right side
    96,205x = 21,903,408,004
  5. Step 5: Solve for x
    x = 21,903,408,004/96,205
  6. Step 6: Final answer
    x = 227,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.