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Finding the Third Proportional to 157,265,613 and 246,165,848

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Solution

The third proportional to 157,265,613 and 246,165,848 is: 385,320,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,265,613 : 246,165,848 = 246,165,848 : x
  2. Step 2: Convert to fraction form
    157,265,613/246,165,848 = 246,165,848/x
  3. Step 3: Cross multiply
    157,265,613x = 246,165,848 × 246,165,848
  4. Step 4: Simplify right side
    157,265,613x = 60,597,624,721,559,104
  5. Step 5: Solve for x
    x = 60,597,624,721,559,104/157,265,613
  6. Step 6: Final answer
    x = 385,320,246.21

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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.