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Finding the Third Proportional to 102,476,880 and 221,282,976

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Solution

The third proportional to 102,476,880 and 221,282,976 is: 477,826,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476,880 : 221,282,976 = 221,282,976 : x
  2. Step 2: Convert to fraction form
    102,476,880/221,282,976 = 221,282,976/x
  3. Step 3: Cross multiply
    102,476,880x = 221,282,976 × 221,282,976
  4. Step 4: Simplify right side
    102,476,880x = 48,966,155,467,416,576
  5. Step 5: Solve for x
    x = 48,966,155,467,416,576/102,476,880
  6. Step 6: Final answer
    x = 477,826,368.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.