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Finding the Third Proportional to 255,141,649.50 and 556,468,840.50

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Solution

The third proportional to 255,141,649.50 and 556,468,840.50 is: 1,213,669,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,141,649.50 : 556,468,840.50 = 556,468,840.50 : x
  2. Step 2: Convert to fraction form
    255,141,649.50/556,468,840.50 = 556,468,840.50/x
  3. Step 3: Cross multiply
    255,141,649.50x = 556,468,840.50 × 556,468,840.50
  4. Step 4: Simplify right side
    255,141,649.50x = 309,657,570,447,414,464
  5. Step 5: Solve for x
    x = 309,657,570,447,414,464/255,141,649.50
  6. Step 6: Final answer
    x = 1,213,669,234.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.