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Finding the Third Proportional to 64,365,054 and 140,974,164

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Solution

The third proportional to 64,365,054 and 140,974,164 is: 308,765,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,365,054 : 140,974,164 = 140,974,164 : x
  2. Step 2: Convert to fraction form
    64,365,054/140,974,164 = 140,974,164/x
  3. Step 3: Cross multiply
    64,365,054x = 140,974,164 × 140,974,164
  4. Step 4: Simplify right side
    64,365,054x = 19,873,714,915,498,896
  5. Step 5: Solve for x
    x = 19,873,714,915,498,896/64,365,054
  6. Step 6: Final answer
    x = 308,765,606.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.