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Finding the Third Proportional to 71,658,342 and 146,324,412

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Solution

The third proportional to 71,658,342 and 146,324,412 is: 298,790,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658,342 : 146,324,412 = 146,324,412 : x
  2. Step 2: Convert to fraction form
    71,658,342/146,324,412 = 146,324,412/x
  3. Step 3: Cross multiply
    71,658,342x = 146,324,412 × 146,324,412
  4. Step 4: Simplify right side
    71,658,342x = 21,410,833,547,145,744
  5. Step 5: Solve for x
    x = 21,410,833,547,145,744/71,658,342
  6. Step 6: Final answer
    x = 298,790,523.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.