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Finding the Third Proportional to 219,038,272 and 327,875,064

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Solution

The third proportional to 219,038,272 and 327,875,064 is: 490,791,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,038,272 : 327,875,064 = 327,875,064 : x
  2. Step 2: Convert to fraction form
    219,038,272/327,875,064 = 327,875,064/x
  3. Step 3: Cross multiply
    219,038,272x = 327,875,064 × 327,875,064
  4. Step 4: Simplify right side
    219,038,272x = 107,502,057,593,004,096
  5. Step 5: Solve for x
    x = 107,502,057,593,004,096/219,038,272
  6. Step 6: Final answer
    x = 490,791,205.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.