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Finding the Third Proportional to 199,432,980 and 306,353,476

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Solution

The third proportional to 199,432,980 and 306,353,476 is: 470,596,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,980 : 306,353,476 = 306,353,476 : x
  2. Step 2: Convert to fraction form
    199,432,980/306,353,476 = 306,353,476/x
  3. Step 3: Cross multiply
    199,432,980x = 306,353,476 × 306,353,476
  4. Step 4: Simplify right side
    199,432,980x = 93,852,452,257,282,576
  5. Step 5: Solve for x
    x = 93,852,452,257,282,576/199,432,980
  6. Step 6: Final answer
    x = 470,596,449.28

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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.