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Finding the Third Proportional to 255,848,011 and 364,635,280

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Solution

The third proportional to 255,848,011 and 364,635,280 is: 519,679,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,848,011 : 364,635,280 = 364,635,280 : x
  2. Step 2: Convert to fraction form
    255,848,011/364,635,280 = 364,635,280/x
  3. Step 3: Cross multiply
    255,848,011x = 364,635,280 × 364,635,280
  4. Step 4: Simplify right side
    255,848,011x = 132,958,887,420,678,400
  5. Step 5: Solve for x
    x = 132,958,887,420,678,400/255,848,011
  6. Step 6: Final answer
    x = 519,679,191.18

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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.