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Finding the Third Proportional to 129,141,024.75 and 196,103,058.75

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Solution

The third proportional to 129,141,024.75 and 196,103,058.75 is: 297,786,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,141,024.75 : 196,103,058.75 = 196,103,058.75 : x
  2. Step 2: Convert to fraction form
    129,141,024.75/196,103,058.75 = 196,103,058.75/x
  3. Step 3: Cross multiply
    129,141,024.75x = 196,103,058.75 × 196,103,058.75
  4. Step 4: Simplify right side
    129,141,024.75x = 38,456,409,651,105,952
  5. Step 5: Solve for x
    x = 38,456,409,651,105,952/129,141,024.75
  6. Step 6: Final answer
    x = 297,786,158.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.