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Finding the Third Proportional to 342,675,090.75 and 529,732,002.75

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Solution

The third proportional to 342,675,090.75 and 529,732,002.75 is: 818,898,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,675,090.75 : 529,732,002.75 = 529,732,002.75 : x
  2. Step 2: Convert to fraction form
    342,675,090.75/529,732,002.75 = 529,732,002.75/x
  3. Step 3: Cross multiply
    342,675,090.75x = 529,732,002.75 × 529,732,002.75
  4. Step 4: Simplify right side
    342,675,090.75x = 280,615,994,737,526,016
  5. Step 5: Solve for x
    x = 280,615,994,737,526,016/342,675,090.75
  6. Step 6: Final answer
    x = 818,898,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.