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Finding the Third Proportional to 236,238,315 and 369,840,748.50

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Solution

The third proportional to 236,238,315 and 369,840,748.50 is: 579,000,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,238,315 : 369,840,748.50 = 369,840,748.50 : x
  2. Step 2: Convert to fraction form
    236,238,315/369,840,748.50 = 369,840,748.50/x
  3. Step 3: Cross multiply
    236,238,315x = 369,840,748.50 × 369,840,748.50
  4. Step 4: Simplify right side
    236,238,315x = 136,782,179,251,040,256
  5. Step 5: Solve for x
    x = 136,782,179,251,040,256/236,238,315
  6. Step 6: Final answer
    x = 579,000,824.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.