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Finding the Third Proportional to 127,446,866 and 196,800,266.50

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Solution

The third proportional to 127,446,866 and 196,800,266.50 is: 303,894,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,446,866 : 196,800,266.50 = 196,800,266.50 : x
  2. Step 2: Convert to fraction form
    127,446,866/196,800,266.50 = 196,800,266.50/x
  3. Step 3: Cross multiply
    127,446,866x = 196,800,266.50 × 196,800,266.50
  4. Step 4: Simplify right side
    127,446,866x = 38,730,344,894,471,024
  5. Step 5: Solve for x
    x = 38,730,344,894,471,024/127,446,866
  6. Step 6: Final answer
    x = 303,894,054.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.