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Finding the Third Proportional to 214,571,440.50 and 463,445,421

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Solution

The third proportional to 214,571,440.50 and 463,445,421 is: 1,000,979,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571,440.50 : 463,445,421 = 463,445,421 : x
  2. Step 2: Convert to fraction form
    214,571,440.50/463,445,421 = 463,445,421/x
  3. Step 3: Cross multiply
    214,571,440.50x = 463,445,421 × 463,445,421
  4. Step 4: Simplify right side
    214,571,440.50x = 214,781,658,245,867,232
  5. Step 5: Solve for x
    x = 214,781,658,245,867,232/214,571,440.50
  6. Step 6: Final answer
    x = 1,000,979,709.81

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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.