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Finding the Third Proportional to 96,954 and 211,428

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Solution

The third proportional to 96,954 and 211,428 is: 461,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,954 : 211,428 = 211,428 : x
  2. Step 2: Convert to fraction form
    96,954/211,428 = 211,428/x
  3. Step 3: Cross multiply
    96,954x = 211,428 × 211,428
  4. Step 4: Simplify right side
    96,954x = 44,701,799,184
  5. Step 5: Solve for x
    x = 44,701,799,184/96,954
  6. Step 6: Final answer
    x = 461,061.94

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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.