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Finding the Third Proportional to 104,924,010 and 164,574,274

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Solution

The third proportional to 104,924,010 and 164,574,274 is: 258,136,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,924,010 : 164,574,274 = 164,574,274 : x
  2. Step 2: Convert to fraction form
    104,924,010/164,574,274 = 164,574,274/x
  3. Step 3: Cross multiply
    104,924,010x = 164,574,274 × 164,574,274
  4. Step 4: Simplify right side
    104,924,010x = 27,084,691,662,627,076
  5. Step 5: Solve for x
    x = 27,084,691,662,627,076/104,924,010
  6. Step 6: Final answer
    x = 258,136,261.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.