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Finding the Third Proportional to 248,189,604 and 545,612,946

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Solution

The third proportional to 248,189,604 and 545,612,946 is: 1,199,459,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,189,604 : 545,612,946 = 545,612,946 : x
  2. Step 2: Convert to fraction form
    248,189,604/545,612,946 = 545,612,946/x
  3. Step 3: Cross multiply
    248,189,604x = 545,612,946 × 545,612,946
  4. Step 4: Simplify right side
    248,189,604x = 297,693,486,842,798,912
  5. Step 5: Solve for x
    x = 297,693,486,842,798,912/248,189,604
  6. Step 6: Final answer
    x = 1,199,459,937.26

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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.