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Finding the Third Proportional to 236,139,165 and 370,399,108.50

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Solution

The third proportional to 236,139,165 and 370,399,108.50 is: 580,994,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,139,165 : 370,399,108.50 = 370,399,108.50 : x
  2. Step 2: Convert to fraction form
    236,139,165/370,399,108.50 = 370,399,108.50/x
  3. Step 3: Cross multiply
    236,139,165x = 370,399,108.50 × 370,399,108.50
  4. Step 4: Simplify right side
    236,139,165x = 137,195,499,577,594,768
  5. Step 5: Solve for x
    x = 137,195,499,577,594,768/236,139,165
  6. Step 6: Final answer
    x = 580,994,260.64

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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.