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Finding the Third Proportional to 96,850 and 210,855

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Solution

The third proportional to 96,850 and 210,855 is: 459,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,850 : 210,855 = 210,855 : x
  2. Step 2: Convert to fraction form
    96,850/210,855 = 210,855/x
  3. Step 3: Cross multiply
    96,850x = 210,855 × 210,855
  4. Step 4: Simplify right side
    96,850x = 44,459,831,025
  5. Step 5: Solve for x
    x = 44,459,831,025/96,850
  6. Step 6: Final answer
    x = 459,058.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.