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Finding the Third Proportional to 248,189,609 and 545,612,962

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Solution

The third proportional to 248,189,609 and 545,612,962 is: 1,199,459,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,189,609 : 545,612,962 = 545,612,962 : x
  2. Step 2: Convert to fraction form
    248,189,609/545,612,962 = 545,612,962/x
  3. Step 3: Cross multiply
    248,189,609x = 545,612,962 × 545,612,962
  4. Step 4: Simplify right side
    248,189,609x = 297,693,504,302,413,440
  5. Step 5: Solve for x
    x = 297,693,504,302,413,440/248,189,609
  6. Step 6: Final answer
    x = 1,199,459,983.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.