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Finding the Third Proportional to 127,925,944 and 196,509,896

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Solution

The third proportional to 127,925,944 and 196,509,896 is: 301,863,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,925,944 : 196,509,896 = 196,509,896 : x
  2. Step 2: Convert to fraction form
    127,925,944/196,509,896 = 196,509,896/x
  3. Step 3: Cross multiply
    127,925,944x = 196,509,896 × 196,509,896
  4. Step 4: Simplify right side
    127,925,944x = 38,616,139,225,930,816
  5. Step 5: Solve for x
    x = 38,616,139,225,930,816/127,925,944
  6. Step 6: Final answer
    x = 301,863,234.45

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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.