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Finding the Third Proportional to 157,500,624 and 246,509,400

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Solution

The third proportional to 157,500,624 and 246,509,400 is: 385,819,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500,624 : 246,509,400 = 246,509,400 : x
  2. Step 2: Convert to fraction form
    157,500,624/246,509,400 = 246,509,400/x
  3. Step 3: Cross multiply
    157,500,624x = 246,509,400 × 246,509,400
  4. Step 4: Simplify right side
    157,500,624x = 60,766,884,288,360,000
  5. Step 5: Solve for x
    x = 60,766,884,288,360,000/157,500,624
  6. Step 6: Final answer
    x = 385,819,958.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.