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Finding the Third Proportional to 199,432,966 and 306,353,453

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Solution

The third proportional to 199,432,966 and 306,353,453 is: 470,596,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,966 : 306,353,453 = 306,353,453 : x
  2. Step 2: Convert to fraction form
    199,432,966/306,353,453 = 306,353,453/x
  3. Step 3: Cross multiply
    199,432,966x = 306,353,453 × 306,353,453
  4. Step 4: Simplify right side
    199,432,966x = 93,852,438,165,023,216
  5. Step 5: Solve for x
    x = 93,852,438,165,023,216/199,432,966
  6. Step 6: Final answer
    x = 470,596,411.65

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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.