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Finding the Third Proportional to 199,432,966 and 306,353,454

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Solution

The third proportional to 199,432,966 and 306,353,454 is: 470,596,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,966 : 306,353,454 = 306,353,454 : x
  2. Step 2: Convert to fraction form
    199,432,966/306,353,454 = 306,353,454/x
  3. Step 3: Cross multiply
    199,432,966x = 306,353,454 × 306,353,454
  4. Step 4: Simplify right side
    199,432,966x = 93,852,438,777,730,112
  5. Step 5: Solve for x
    x = 93,852,438,777,730,112/199,432,966
  6. Step 6: Final answer
    x = 470,596,414.73

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