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Finding the Third Proportional to 96,040 and 209,408

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Solution

The third proportional to 96,040 and 209,408 is: 456,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,040 : 209,408 = 209,408 : x
  2. Step 2: Convert to fraction form
    96,040/209,408 = 209,408/x
  3. Step 3: Cross multiply
    96,040x = 209,408 × 209,408
  4. Step 4: Simplify right side
    96,040x = 43,851,710,464
  5. Step 5: Solve for x
    x = 43,851,710,464/96,040
  6. Step 6: Final answer
    x = 456,598.40

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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.