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Finding the Third Proportional to 192,254,076 and 297,880,578

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Solution

The third proportional to 192,254,076 and 297,880,578 is: 461,539,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,254,076 : 297,880,578 = 297,880,578 : x
  2. Step 2: Convert to fraction form
    192,254,076/297,880,578 = 297,880,578/x
  3. Step 3: Cross multiply
    192,254,076x = 297,880,578 × 297,880,578
  4. Step 4: Simplify right side
    192,254,076x = 88,732,838,749,614,080
  5. Step 5: Solve for x
    x = 88,732,838,749,614,080/192,254,076
  6. Step 6: Final answer
    x = 461,539,440.91

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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.