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Finding the Third Proportional to 140,361,692 and 312,997,084

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Solution

The third proportional to 140,361,692 and 312,997,084 is: 697,962,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,361,692 : 312,997,084 = 312,997,084 : x
  2. Step 2: Convert to fraction form
    140,361,692/312,997,084 = 312,997,084/x
  3. Step 3: Cross multiply
    140,361,692x = 312,997,084 × 312,997,084
  4. Step 4: Simplify right side
    140,361,692x = 97,967,174,592,503,056
  5. Step 5: Solve for x
    x = 97,967,174,592,503,056/140,361,692
  6. Step 6: Final answer
    x = 697,962,337.13

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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.