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Finding the Third Proportional to 122,942,911 and 186,931,800

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Solution

The third proportional to 122,942,911 and 186,931,800 is: 284,225,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942,911 : 186,931,800 = 186,931,800 : x
  2. Step 2: Convert to fraction form
    122,942,911/186,931,800 = 186,931,800/x
  3. Step 3: Cross multiply
    122,942,911x = 186,931,800 × 186,931,800
  4. Step 4: Simplify right side
    122,942,911x = 34,943,497,851,240,000
  5. Step 5: Solve for x
    x = 34,943,497,851,240,000/122,942,911
  6. Step 6: Final answer
    x = 284,225,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.