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Finding the Third Proportional to 199,432,965 and 306,353,452.50

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Solution

The third proportional to 199,432,965 and 306,353,452.50 is: 470,596,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,965 : 306,353,452.50 = 306,353,452.50 : x
  2. Step 2: Convert to fraction form
    199,432,965/306,353,452.50 = 306,353,452.50/x
  3. Step 3: Cross multiply
    199,432,965x = 306,353,452.50 × 306,353,452.50
  4. Step 4: Simplify right side
    199,432,965x = 93,852,437,858,669,760
  5. Step 5: Solve for x
    x = 93,852,437,858,669,760/199,432,965
  6. Step 6: Final answer
    x = 470,596,412.48

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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.