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Finding the Third Proportional to 96,400,126 and 146,859,021

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Solution

The third proportional to 96,400,126 and 146,859,021 is: 223,729,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400,126 : 146,859,021 = 146,859,021 : x
  2. Step 2: Convert to fraction form
    96,400,126/146,859,021 = 146,859,021/x
  3. Step 3: Cross multiply
    96,400,126x = 146,859,021 × 146,859,021
  4. Step 4: Simplify right side
    96,400,126x = 21,567,572,049,078,440
  5. Step 5: Solve for x
    x = 21,567,572,049,078,440/96,400,126
  6. Step 6: Final answer
    x = 223,729,708.08

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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.