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Finding the Third Proportional to 192,254,038 and 297,880,542

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Solution

The third proportional to 192,254,038 and 297,880,542 is: 461,539,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,254,038 : 297,880,542 = 297,880,542 : x
  2. Step 2: Convert to fraction form
    192,254,038/297,880,542 = 297,880,542/x
  3. Step 3: Cross multiply
    192,254,038x = 297,880,542 × 297,880,542
  4. Step 4: Simplify right side
    192,254,038x = 88,732,817,302,213,760
  5. Step 5: Solve for x
    x = 88,732,817,302,213,760/192,254,038
  6. Step 6: Final answer
    x = 461,539,420.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.