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Finding the Third Proportional to 214,583,072 and 463,466,192

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Solution

The third proportional to 214,583,072 and 463,466,192 is: 1,001,015,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,583,072 : 463,466,192 = 463,466,192 : x
  2. Step 2: Convert to fraction form
    214,583,072/463,466,192 = 463,466,192/x
  3. Step 3: Cross multiply
    214,583,072x = 463,466,192 × 463,466,192
  4. Step 4: Simplify right side
    214,583,072x = 214,800,911,126,980,864
  5. Step 5: Solve for x
    x = 214,800,911,126,980,864/214,583,072
  6. Step 6: Final answer
    x = 1,001,015,173.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.