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Finding the Third Proportional to 122,942,827 and 186,931,677

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Solution

The third proportional to 122,942,827 and 186,931,677 is: 284,225,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942,827 : 186,931,677 = 186,931,677 : x
  2. Step 2: Convert to fraction form
    122,942,827/186,931,677 = 186,931,677/x
  3. Step 3: Cross multiply
    122,942,827x = 186,931,677 × 186,931,677
  4. Step 4: Simplify right side
    122,942,827x = 34,943,451,866,032,328
  5. Step 5: Solve for x
    x = 34,943,451,866,032,328/122,942,827
  6. Step 6: Final answer
    x = 284,225,218.49

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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.