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Finding the Third Proportional to 143,510,314,305 and 307,490,415,219

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Solution

The third proportional to 143,510,314,305 and 307,490,415,219 is: 658,840,139,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,510,314,305 : 307,490,415,219 = 307,490,415,219 : x
  2. Step 2: Convert to fraction form
    143,510,314,305/307,490,415,219 = 307,490,415,219/x
  3. Step 3: Cross multiply
    143,510,314,305x = 307,490,415,219 × 307,490,415,219
  4. Step 4: Simplify right side
    143,510,314,305x = 94,550,355,451,553,033,224,192
  5. Step 5: Solve for x
    x = 94,550,355,451,553,033,224,192/143,510,314,305
  6. Step 6: Final answer
    x = 658,840,139,187.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.