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Finding the Third Proportional to 179,479,297 and 390,405,225

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Solution

The third proportional to 179,479,297 and 390,405,225 is: 849,213,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,479,297 : 390,405,225 = 390,405,225 : x
  2. Step 2: Convert to fraction form
    179,479,297/390,405,225 = 390,405,225/x
  3. Step 3: Cross multiply
    179,479,297x = 390,405,225 × 390,405,225
  4. Step 4: Simplify right side
    179,479,297x = 152,416,239,707,300,640
  5. Step 5: Solve for x
    x = 152,416,239,707,300,640/179,479,297
  6. Step 6: Final answer
    x = 849,213,487.32

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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.