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Finding the Third Proportional to 130,928,896 and 196,393,344

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Solution

The third proportional to 130,928,896 and 196,393,344 is: 294,590,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,928,896 : 196,393,344 = 196,393,344 : x
  2. Step 2: Convert to fraction form
    130,928,896/196,393,344 = 196,393,344/x
  3. Step 3: Cross multiply
    130,928,896x = 196,393,344 × 196,393,344
  4. Step 4: Simplify right side
    130,928,896x = 38,570,345,567,502,336
  5. Step 5: Solve for x
    x = 38,570,345,567,502,336/130,928,896
  6. Step 6: Final answer
    x = 294,590,016

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.