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Finding the Third Proportional to 164,615,548 and 224,216,451

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Solution

The third proportional to 164,615,548 and 224,216,451 is: 305,396,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,615,548 : 224,216,451 = 224,216,451 : x
  2. Step 2: Convert to fraction form
    164,615,548/224,216,451 = 224,216,451/x
  3. Step 3: Cross multiply
    164,615,548x = 224,216,451 × 224,216,451
  4. Step 4: Simplify right side
    164,615,548x = 50,273,016,899,035,400
  5. Step 5: Solve for x
    x = 50,273,016,899,035,400/164,615,548
  6. Step 6: Final answer
    x = 305,396,528.52

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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.