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Finding the Third Proportional to 130,058,806.31 and 187,912,514.44

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Solution

The third proportional to 130,058,806.31 and 187,912,514.44 is: 271,501,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,058,806.31 : 187,912,514.44 = 187,912,514.44 : x
  2. Step 2: Convert to fraction form
    130,058,806.31/187,912,514.44 = 187,912,514.44/x
  3. Step 3: Cross multiply
    130,058,806.31x = 187,912,514.44 × 187,912,514.44
  4. Step 4: Simplify right side
    130,058,806.31x = 35,311,113,082,223,644
  5. Step 5: Solve for x
    x = 35,311,113,082,223,644/130,058,806.31
  6. Step 6: Final answer
    x = 271,501,131.55

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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.