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Finding the Third Proportional to 99,126,296 and 214,724,320

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Solution

The third proportional to 99,126,296 and 214,724,320 is: 465,129,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126,296 : 214,724,320 = 214,724,320 : x
  2. Step 2: Convert to fraction form
    99,126,296/214,724,320 = 214,724,320/x
  3. Step 3: Cross multiply
    99,126,296x = 214,724,320 × 214,724,320
  4. Step 4: Simplify right side
    99,126,296x = 46,106,533,599,462,400
  5. Step 5: Solve for x
    x = 46,106,533,599,462,400/99,126,296
  6. Step 6: Final answer
    x = 465,129,188.32

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Why These Related Problems?

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