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Finding the Third Proportional to 80,698,200 and 175,113,840

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Solution

The third proportional to 80,698,200 and 175,113,840 is: 379,994,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,698,200 : 175,113,840 = 175,113,840 : x
  2. Step 2: Convert to fraction form
    80,698,200/175,113,840 = 175,113,840/x
  3. Step 3: Cross multiply
    80,698,200x = 175,113,840 × 175,113,840
  4. Step 4: Simplify right side
    80,698,200x = 30,664,856,959,545,600
  5. Step 5: Solve for x
    x = 30,664,856,959,545,600/80,698,200
  6. Step 6: Final answer
    x = 379,994,311.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.