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Finding the Third Proportional to 236,189,322 and 332,461,678.50

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Solution

The third proportional to 236,189,322 and 332,461,678.50 is: 467,975,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,189,322 : 332,461,678.50 = 332,461,678.50 : x
  2. Step 2: Convert to fraction form
    236,189,322/332,461,678.50 = 332,461,678.50/x
  3. Step 3: Cross multiply
    236,189,322x = 332,461,678.50 × 332,461,678.50
  4. Step 4: Simplify right side
    236,189,322x = 110,530,767,671,037,360
  5. Step 5: Solve for x
    x = 110,530,767,671,037,360/236,189,322
  6. Step 6: Final answer
    x = 467,975,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.