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Finding the Third Proportional to 97,014,130,224 and 211,111,246,936

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Solution

The third proportional to 97,014,130,224 and 211,111,246,936 is: 459,396,569,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,014,130,224 : 211,111,246,936 = 211,111,246,936 : x
  2. Step 2: Convert to fraction form
    97,014,130,224/211,111,246,936 = 211,111,246,936/x
  3. Step 3: Cross multiply
    97,014,130,224x = 211,111,246,936 × 211,111,246,936
  4. Step 4: Simplify right side
    97,014,130,224x = 44,567,958,582,872,766,414,848
  5. Step 5: Solve for x
    x = 44,567,958,582,872,766,414,848/97,014,130,224
  6. Step 6: Final answer
    x = 459,396,569,138.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.