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Finding the Third Proportional to 97,161 and 210,919.50

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Solution

The third proportional to 97,161 and 210,919.50 is: 457,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,161 : 210,919.50 = 210,919.50 : x
  2. Step 2: Convert to fraction form
    97,161/210,919.50 = 210,919.50/x
  3. Step 3: Cross multiply
    97,161x = 210,919.50 × 210,919.50
  4. Step 4: Simplify right side
    97,161x = 44,487,035,480.25
  5. Step 5: Solve for x
    x = 44,487,035,480.25/97,161
  6. Step 6: Final answer
    x = 457,869.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.