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Finding the Third Proportional to 145,704,744 and 297,262,170

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Solution

The third proportional to 145,704,744 and 297,262,170 is: 606,464,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,704,744 : 297,262,170 = 297,262,170 : x
  2. Step 2: Convert to fraction form
    145,704,744/297,262,170 = 297,262,170/x
  3. Step 3: Cross multiply
    145,704,744x = 297,262,170 × 297,262,170
  4. Step 4: Simplify right side
    145,704,744x = 88,364,797,713,108,896
  5. Step 5: Solve for x
    x = 88,364,797,713,108,896/145,704,744
  6. Step 6: Final answer
    x = 606,464,795.09

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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.