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Finding the Third Proportional to 192,415,504 and 420,113,606

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Solution

The third proportional to 192,415,504 and 420,113,606 is: 917,262,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415,504 : 420,113,606 = 420,113,606 : x
  2. Step 2: Convert to fraction form
    192,415,504/420,113,606 = 420,113,606/x
  3. Step 3: Cross multiply
    192,415,504x = 420,113,606 × 420,113,606
  4. Step 4: Simplify right side
    192,415,504x = 176,495,441,946,323,232
  5. Step 5: Solve for x
    x = 176,495,441,946,323,232/192,415,504
  6. Step 6: Final answer
    x = 917,262,061.93

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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.