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Finding the Third Proportional to 162,257,296 and 382,644,368

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Solution

The third proportional to 162,257,296 and 382,644,368 is: 902,373,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,257,296 : 382,644,368 = 382,644,368 : x
  2. Step 2: Convert to fraction form
    162,257,296/382,644,368 = 382,644,368/x
  3. Step 3: Cross multiply
    162,257,296x = 382,644,368 × 382,644,368
  4. Step 4: Simplify right side
    162,257,296x = 146,416,712,362,119,424
  5. Step 5: Solve for x
    x = 146,416,712,362,119,424/162,257,296
  6. Step 6: Final answer
    x = 902,373,674.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.