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Finding the Third Proportional to 154,156,199 and 363,792,984

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Solution

The third proportional to 154,156,199 and 363,792,984 is: 858,514,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,156,199 : 363,792,984 = 363,792,984 : x
  2. Step 2: Convert to fraction form
    154,156,199/363,792,984 = 363,792,984/x
  3. Step 3: Cross multiply
    154,156,199x = 363,792,984 × 363,792,984
  4. Step 4: Simplify right side
    154,156,199x = 132,345,335,207,624,256
  5. Step 5: Solve for x
    x = 132,345,335,207,624,256/154,156,199
  6. Step 6: Final answer
    x = 858,514,520.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.