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Finding the Third Proportional to 193,264,794 and 292,710,399

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Solution

The third proportional to 193,264,794 and 292,710,399 is: 443,326,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,264,794 : 292,710,399 = 292,710,399 : x
  2. Step 2: Convert to fraction form
    193,264,794/292,710,399 = 292,710,399/x
  3. Step 3: Cross multiply
    193,264,794x = 292,710,399 × 292,710,399
  4. Step 4: Simplify right side
    193,264,794x = 85,679,377,682,739,200
  5. Step 5: Solve for x
    x = 85,679,377,682,739,200/193,264,794
  6. Step 6: Final answer
    x = 443,326,360.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.