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Finding the Third Proportional to 192,415,500 and 420,113,598

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Solution

The third proportional to 192,415,500 and 420,113,598 is: 917,262,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415,500 : 420,113,598 = 420,113,598 : x
  2. Step 2: Convert to fraction form
    192,415,500/420,113,598 = 420,113,598/x
  3. Step 3: Cross multiply
    192,415,500x = 420,113,598 × 420,113,598
  4. Step 4: Simplify right side
    192,415,500x = 176,495,435,224,505,600
  5. Step 5: Solve for x
    x = 176,495,435,224,505,600/192,415,500
  6. Step 6: Final answer
    x = 917,262,046.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.