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Finding the Third Proportional to 212,383,021.50 and 463,370,967

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Solution

The third proportional to 212,383,021.50 and 463,370,967 is: 1,010,969,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,383,021.50 : 463,370,967 = 463,370,967 : x
  2. Step 2: Convert to fraction form
    212,383,021.50/463,370,967 = 463,370,967/x
  3. Step 3: Cross multiply
    212,383,021.50x = 463,370,967 × 463,370,967
  4. Step 4: Simplify right side
    212,383,021.50x = 214,712,653,058,515,104
  5. Step 5: Solve for x
    x = 214,712,653,058,515,104/212,383,021.50
  6. Step 6: Final answer
    x = 1,010,969,010.34

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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.