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Finding the Third Proportional to 96,490 and 207,746

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Solution

The third proportional to 96,490 and 207,746 is: 447,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,490 : 207,746 = 207,746 : x
  2. Step 2: Convert to fraction form
    96,490/207,746 = 207,746/x
  3. Step 3: Cross multiply
    96,490x = 207,746 × 207,746
  4. Step 4: Simplify right side
    96,490x = 43,158,400,516
  5. Step 5: Solve for x
    x = 43,158,400,516/96,490
  6. Step 6: Final answer
    x = 447,283.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.