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Finding the Third Proportional to 255,848,009 and 364,635,277.50

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Solution

The third proportional to 255,848,009 and 364,635,277.50 is: 519,679,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,848,009 : 364,635,277.50 = 364,635,277.50 : x
  2. Step 2: Convert to fraction form
    255,848,009/364,635,277.50 = 364,635,277.50/x
  3. Step 3: Cross multiply
    255,848,009x = 364,635,277.50 × 364,635,277.50
  4. Step 4: Simplify right side
    255,848,009x = 132,958,885,597,502,000
  5. Step 5: Solve for x
    x = 132,958,885,597,502,000/255,848,009
  6. Step 6: Final answer
    x = 519,679,188.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.