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Finding the Third Proportional to 164,054,456 and 239,853,346

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Solution

The third proportional to 164,054,456 and 239,853,346 is: 350,673,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,054,456 : 239,853,346 = 239,853,346 : x
  2. Step 2: Convert to fraction form
    164,054,456/239,853,346 = 239,853,346/x
  3. Step 3: Cross multiply
    164,054,456x = 239,853,346 × 239,853,346
  4. Step 4: Simplify right side
    164,054,456x = 57,529,627,587,395,712
  5. Step 5: Solve for x
    x = 57,529,627,587,395,712/164,054,456
  6. Step 6: Final answer
    x = 350,673,971.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.