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Finding the Third Proportional to 164,615,546 and 224,216,448

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Solution

The third proportional to 164,615,546 and 224,216,448 is: 305,396,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,615,546 : 224,216,448 = 224,216,448 : x
  2. Step 2: Convert to fraction form
    164,615,546/224,216,448 = 224,216,448/x
  3. Step 3: Cross multiply
    164,615,546x = 224,216,448 × 224,216,448
  4. Step 4: Simplify right side
    164,615,546x = 50,273,015,553,736,704
  5. Step 5: Solve for x
    x = 50,273,015,553,736,704/164,615,546
  6. Step 6: Final answer
    x = 305,396,524.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.