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Finding the Third Proportional to 85,301,102 and 184,194,545

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Solution

The third proportional to 85,301,102 and 184,194,545 is: 397,739,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,102 : 184,194,545 = 184,194,545 : x
  2. Step 2: Convert to fraction form
    85,301,102/184,194,545 = 184,194,545/x
  3. Step 3: Cross multiply
    85,301,102x = 184,194,545 × 184,194,545
  4. Step 4: Simplify right side
    85,301,102x = 33,927,630,407,757,024
  5. Step 5: Solve for x
    x = 33,927,630,407,757,024/85,301,102
  6. Step 6: Final answer
    x = 397,739,649.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.