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Finding the Third Proportional to 95,972 and 209,428

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Solution

The third proportional to 95,972 and 209,428 is: 457,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,972 : 209,428 = 209,428 : x
  2. Step 2: Convert to fraction form
    95,972/209,428 = 209,428/x
  3. Step 3: Cross multiply
    95,972x = 209,428 × 209,428
  4. Step 4: Simplify right side
    95,972x = 43,860,087,184
  5. Step 5: Solve for x
    x = 43,860,087,184/95,972
  6. Step 6: Final answer
    x = 457,009.20

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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.