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Finding the Third Proportional to 193,964,076 and 292,962,524

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Solution

The third proportional to 193,964,076 and 292,962,524 is: 442,489,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,964,076 : 292,962,524 = 292,962,524 : x
  2. Step 2: Convert to fraction form
    193,964,076/292,962,524 = 292,962,524/x
  3. Step 3: Cross multiply
    193,964,076x = 292,962,524 × 292,962,524
  4. Step 4: Simplify right side
    193,964,076x = 85,827,040,468,450,576
  5. Step 5: Solve for x
    x = 85,827,040,468,450,576/193,964,076
  6. Step 6: Final answer
    x = 442,489,363.18

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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.