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Finding the Third Proportional to 145,792,808 and 297,451,146

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Solution

The third proportional to 145,792,808 and 297,451,146 is: 606,869,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792,808 : 297,451,146 = 297,451,146 : x
  2. Step 2: Convert to fraction form
    145,792,808/297,451,146 = 297,451,146/x
  3. Step 3: Cross multiply
    145,792,808x = 297,451,146 × 297,451,146
  4. Step 4: Simplify right side
    145,792,808x = 88,477,184,256,713,312
  5. Step 5: Solve for x
    x = 88,477,184,256,713,312/145,792,808
  6. Step 6: Final answer
    x = 606,869,333.75

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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.