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Finding the Third Proportional to 172,271,900.25 and 264,794,376.38

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Solution

The third proportional to 172,271,900.25 and 264,794,376.38 is: 407,008,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,271,900.25 : 264,794,376.38 = 264,794,376.38 : x
  2. Step 2: Convert to fraction form
    172,271,900.25/264,794,376.38 = 264,794,376.38/x
  3. Step 3: Cross multiply
    172,271,900.25x = 264,794,376.38 × 264,794,376.38
  4. Step 4: Simplify right side
    172,271,900.25x = 70,116,061,759,825,160
  5. Step 5: Solve for x
    x = 70,116,061,759,825,160/172,271,900.25
  6. Step 6: Final answer
    x = 407,008,117.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.