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Finding the Third Proportional to 194,264,739 and 298,900,284

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Solution

The third proportional to 194,264,739 and 298,900,284 is: 459,894,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,264,739 : 298,900,284 = 298,900,284 : x
  2. Step 2: Convert to fraction form
    194,264,739/298,900,284 = 298,900,284/x
  3. Step 3: Cross multiply
    194,264,739x = 298,900,284 × 298,900,284
  4. Step 4: Simplify right side
    194,264,739x = 89,341,379,775,280,656
  5. Step 5: Solve for x
    x = 89,341,379,775,280,656/194,264,739
  6. Step 6: Final answer
    x = 459,894,987.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.