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Finding the Third Proportional to 230,913,176 and 497,920,096

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Solution

The third proportional to 230,913,176 and 497,920,096 is: 1,073,669,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,913,176 : 497,920,096 = 497,920,096 : x
  2. Step 2: Convert to fraction form
    230,913,176/497,920,096 = 497,920,096/x
  3. Step 3: Cross multiply
    230,913,176x = 497,920,096 × 497,920,096
  4. Step 4: Simplify right side
    230,913,176x = 247,924,422,000,649,216
  5. Step 5: Solve for x
    x = 247,924,422,000,649,216/230,913,176
  6. Step 6: Final answer
    x = 1,073,669,447.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.