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Finding the Third Proportional to 106,282,719 and 228,865,878

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Solution

The third proportional to 106,282,719 and 228,865,878 is: 492,832,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,282,719 : 228,865,878 = 228,865,878 : x
  2. Step 2: Convert to fraction form
    106,282,719/228,865,878 = 228,865,878/x
  3. Step 3: Cross multiply
    106,282,719x = 228,865,878 × 228,865,878
  4. Step 4: Simplify right side
    106,282,719x = 52,379,590,112,710,880
  5. Step 5: Solve for x
    x = 52,379,590,112,710,880/106,282,719
  6. Step 6: Final answer
    x = 492,832,612.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.