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Finding the Third Proportional to 192,517,911.84 and 420,314,328.28

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Solution

The third proportional to 192,517,911.84 and 420,314,328.28 is: 917,650,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,517,911.84 : 420,314,328.28 = 420,314,328.28 : x
  2. Step 2: Convert to fraction form
    192,517,911.84/420,314,328.28 = 420,314,328.28/x
  3. Step 3: Cross multiply
    192,517,911.84x = 420,314,328.28 × 420,314,328.28
  4. Step 4: Simplify right side
    192,517,911.84x = 176,664,134,558,518,400
  5. Step 5: Solve for x
    x = 176,664,134,558,518,400/192,517,911.84
  6. Step 6: Final answer
    x = 917,650,377.91

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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.