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Finding the Third Proportional to 99,126,324 and 214,724,376

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Solution

The third proportional to 99,126,324 and 214,724,376 is: 465,129,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126,324 : 214,724,376 = 214,724,376 : x
  2. Step 2: Convert to fraction form
    99,126,324/214,724,376 = 214,724,376/x
  3. Step 3: Cross multiply
    99,126,324x = 214,724,376 × 214,724,376
  4. Step 4: Simplify right side
    99,126,324x = 46,106,557,648,589,376
  5. Step 5: Solve for x
    x = 46,106,557,648,589,376/99,126,324
  6. Step 6: Final answer
    x = 465,129,299.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.