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Finding the Third Proportional to 85,301,357 and 184,194,910

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Solution

The third proportional to 85,301,357 and 184,194,910 is: 397,740,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,357 : 184,194,910 = 184,194,910 : x
  2. Step 2: Convert to fraction form
    85,301,357/184,194,910 = 184,194,910/x
  3. Step 3: Cross multiply
    85,301,357x = 184,194,910 × 184,194,910
  4. Step 4: Simplify right side
    85,301,357x = 33,927,764,869,908,100
  5. Step 5: Solve for x
    x = 33,927,764,869,908,100/85,301,357
  6. Step 6: Final answer
    x = 397,740,036.77

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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.