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Finding the Third Proportional to 192,084,672 and 420,599,040

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Solution

The third proportional to 192,084,672 and 420,599,040 is: 920,966,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,084,672 : 420,599,040 = 420,599,040 : x
  2. Step 2: Convert to fraction form
    192,084,672/420,599,040 = 420,599,040/x
  3. Step 3: Cross multiply
    192,084,672x = 420,599,040 × 420,599,040
  4. Step 4: Simplify right side
    192,084,672x = 176,903,552,448,921,600
  5. Step 5: Solve for x
    x = 176,903,552,448,921,600/192,084,672
  6. Step 6: Final answer
    x = 920,966,522.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.