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Finding the Third Proportional to 233,824,750 and 326,900,779

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Solution

The third proportional to 233,824,750 and 326,900,779 is: 457,026,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,824,750 : 326,900,779 = 326,900,779 : x
  2. Step 2: Convert to fraction form
    233,824,750/326,900,779 = 326,900,779/x
  3. Step 3: Cross multiply
    233,824,750x = 326,900,779 × 326,900,779
  4. Step 4: Simplify right side
    233,824,750x = 106,864,119,310,806,848
  5. Step 5: Solve for x
    x = 106,864,119,310,806,848/233,824,750
  6. Step 6: Final answer
    x = 457,026,552.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.