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Finding the Third Proportional to 243,892,546 and 523,150,292

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Solution

The third proportional to 243,892,546 and 523,150,292 is: 1,122,159,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,892,546 : 523,150,292 = 523,150,292 : x
  2. Step 2: Convert to fraction form
    243,892,546/523,150,292 = 523,150,292/x
  3. Step 3: Cross multiply
    243,892,546x = 523,150,292 × 523,150,292
  4. Step 4: Simplify right side
    243,892,546x = 273,686,228,019,685,248
  5. Step 5: Solve for x
    x = 273,686,228,019,685,248/243,892,546
  6. Step 6: Final answer
    x = 1,122,159,051.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.