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Finding the Third Proportional to 233,554,117 and 328,522,782

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Solution

The third proportional to 233,554,117 and 328,522,782 is: 462,107,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,554,117 : 328,522,782 = 328,522,782 : x
  2. Step 2: Convert to fraction form
    233,554,117/328,522,782 = 328,522,782/x
  3. Step 3: Cross multiply
    233,554,117x = 328,522,782 × 328,522,782
  4. Step 4: Simplify right side
    233,554,117x = 107,927,218,293,019,520
  5. Step 5: Solve for x
    x = 107,927,218,293,019,520/233,554,117
  6. Step 6: Final answer
    x = 462,107,967.44

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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.