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Finding the Third Proportional to 96,946 and 205,070

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Solution

The third proportional to 96,946 and 205,070 is: 433,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946 : 205,070 = 205,070 : x
  2. Step 2: Convert to fraction form
    96,946/205,070 = 205,070/x
  3. Step 3: Cross multiply
    96,946x = 205,070 × 205,070
  4. Step 4: Simplify right side
    96,946x = 42,053,704,900
  5. Step 5: Solve for x
    x = 42,053,704,900/96,946
  6. Step 6: Final answer
    x = 433,784.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.