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Finding the Third Proportional to 140,361,684 and 312,997,068

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Solution

The third proportional to 140,361,684 and 312,997,068 is: 697,962,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,361,684 : 312,997,068 = 312,997,068 : x
  2. Step 2: Convert to fraction form
    140,361,684/312,997,068 = 312,997,068/x
  3. Step 3: Cross multiply
    140,361,684x = 312,997,068 × 312,997,068
  4. Step 4: Simplify right side
    140,361,684x = 97,967,164,576,596,624
  5. Step 5: Solve for x
    x = 97,967,164,576,596,624/140,361,684
  6. Step 6: Final answer
    x = 697,962,305.56

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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.