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Finding the Third Proportional to 70,271,296 and 152,272,200

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Solution

The third proportional to 70,271,296 and 152,272,200 is: 329,961,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,271,296 : 152,272,200 = 152,272,200 : x
  2. Step 2: Convert to fraction form
    70,271,296/152,272,200 = 152,272,200/x
  3. Step 3: Cross multiply
    70,271,296x = 152,272,200 × 152,272,200
  4. Step 4: Simplify right side
    70,271,296x = 23,186,822,892,840,000
  5. Step 5: Solve for x
    x = 23,186,822,892,840,000/70,271,296
  6. Step 6: Final answer
    x = 329,961,509.36

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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.