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Finding the Third Proportional to 144,346,706 and 208,556,058

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Solution

The third proportional to 144,346,706 and 208,556,058 is: 301,327,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,346,706 : 208,556,058 = 208,556,058 : x
  2. Step 2: Convert to fraction form
    144,346,706/208,556,058 = 208,556,058/x
  3. Step 3: Cross multiply
    144,346,706x = 208,556,058 × 208,556,058
  4. Step 4: Simplify right side
    144,346,706x = 43,495,629,328,499,360
  5. Step 5: Solve for x
    x = 43,495,629,328,499,360/144,346,706
  6. Step 6: Final answer
    x = 301,327,481.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.