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Finding the Third Proportional to 96,004 and 209,478

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Solution

The third proportional to 96,004 and 209,478 is: 457,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,004 : 209,478 = 209,478 : x
  2. Step 2: Convert to fraction form
    96,004/209,478 = 209,478/x
  3. Step 3: Cross multiply
    96,004x = 209,478 × 209,478
  4. Step 4: Simplify right side
    96,004x = 43,881,032,484
  5. Step 5: Solve for x
    x = 43,881,032,484/96,004
  6. Step 6: Final answer
    x = 457,075.04

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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.