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Finding the Third Proportional to 248,189,624 and 545,612,984

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Solution

The third proportional to 248,189,624 and 545,612,984 is: 1,199,460,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,189,624 : 545,612,984 = 545,612,984 : x
  2. Step 2: Convert to fraction form
    248,189,624/545,612,984 = 545,612,984/x
  3. Step 3: Cross multiply
    248,189,624x = 545,612,984 × 545,612,984
  4. Step 4: Simplify right side
    248,189,624x = 297,693,528,309,384,256
  5. Step 5: Solve for x
    x = 297,693,528,309,384,256/248,189,624
  6. Step 6: Final answer
    x = 1,199,460,007.68

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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.