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Finding the Third Proportional to 140,363,226 and 313,000,308

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Solution

The third proportional to 140,363,226 and 313,000,308 is: 697,969,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,363,226 : 313,000,308 = 313,000,308 : x
  2. Step 2: Convert to fraction form
    140,363,226/313,000,308 = 313,000,308/x
  3. Step 3: Cross multiply
    140,363,226x = 313,000,308 × 313,000,308
  4. Step 4: Simplify right side
    140,363,226x = 97,969,192,808,094,864
  5. Step 5: Solve for x
    x = 97,969,192,808,094,864/140,363,226
  6. Step 6: Final answer
    x = 697,969,087.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.