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Finding the Third Proportional to 145,792,809 and 297,451,150

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Solution

The third proportional to 145,792,809 and 297,451,150 is: 606,869,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792,809 : 297,451,150 = 297,451,150 : x
  2. Step 2: Convert to fraction form
    145,792,809/297,451,150 = 297,451,150/x
  3. Step 3: Cross multiply
    145,792,809x = 297,451,150 × 297,451,150
  4. Step 4: Simplify right side
    145,792,809x = 88,477,186,636,322,496
  5. Step 5: Solve for x
    x = 88,477,186,636,322,496/145,792,809
  6. Step 6: Final answer
    x = 606,869,345.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.