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Finding the Third Proportional to 233,562,168 and 328,489,562.25

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Solution

The third proportional to 233,562,168 and 328,489,562.25 is: 461,998,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,562,168 : 328,489,562.25 = 328,489,562.25 : x
  2. Step 2: Convert to fraction form
    233,562,168/328,489,562.25 = 328,489,562.25/x
  3. Step 3: Cross multiply
    233,562,168x = 328,489,562.25 × 328,489,562.25
  4. Step 4: Simplify right side
    233,562,168x = 107,905,392,507,196,624
  5. Step 5: Solve for x
    x = 107,905,392,507,196,624/233,562,168
  6. Step 6: Final answer
    x = 461,998,590.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.