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Finding the Third Proportional to 154,967,024 and 337,173,328

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Solution

The third proportional to 154,967,024 and 337,173,328 is: 733,613,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,967,024 : 337,173,328 = 337,173,328 : x
  2. Step 2: Convert to fraction form
    154,967,024/337,173,328 = 337,173,328/x
  3. Step 3: Cross multiply
    154,967,024x = 337,173,328 × 337,173,328
  4. Step 4: Simplify right side
    154,967,024x = 113,685,853,114,595,584
  5. Step 5: Solve for x
    x = 113,685,853,114,595,584/154,967,024
  6. Step 6: Final answer
    x = 733,613,191.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.