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Finding the Third Proportional to 45,098 and 96,454

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Solution

The third proportional to 45,098 and 96,454 is: 206,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,098 : 96,454 = 96,454 : x
  2. Step 2: Convert to fraction form
    45,098/96,454 = 96,454/x
  3. Step 3: Cross multiply
    45,098x = 96,454 × 96,454
  4. Step 4: Simplify right side
    45,098x = 9,303,374,116
  5. Step 5: Solve for x
    x = 9,303,374,116/45,098
  6. Step 6: Final answer
    x = 206,292.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.