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Finding the Third Proportional to 152,435,992 and 324,535,544

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Solution

The third proportional to 152,435,992 and 324,535,544 is: 690,934,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,435,992 : 324,535,544 = 324,535,544 : x
  2. Step 2: Convert to fraction form
    152,435,992/324,535,544 = 324,535,544/x
  3. Step 3: Cross multiply
    152,435,992x = 324,535,544 × 324,535,544
  4. Step 4: Simplify right side
    152,435,992x = 105,323,319,319,375,936
  5. Step 5: Solve for x
    x = 105,323,319,319,375,936/152,435,992
  6. Step 6: Final answer
    x = 690,934,719.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.