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Finding the Third Proportional to 233,481,912 and 358,135,436

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Solution

The third proportional to 233,481,912 and 358,135,436 is: 549,340,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,481,912 : 358,135,436 = 358,135,436 : x
  2. Step 2: Convert to fraction form
    233,481,912/358,135,436 = 358,135,436/x
  3. Step 3: Cross multiply
    233,481,912x = 358,135,436 × 358,135,436
  4. Step 4: Simplify right side
    233,481,912x = 128,260,990,518,910,096
  5. Step 5: Solve for x
    x = 128,260,990,518,910,096/233,481,912
  6. Step 6: Final answer
    x = 549,340,158.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.