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Finding the Third Proportional to 106,392,216 and 229,759,440

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Solution

The third proportional to 106,392,216 and 229,759,440 is: 496,177,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392,216 : 229,759,440 = 229,759,440 : x
  2. Step 2: Convert to fraction form
    106,392,216/229,759,440 = 229,759,440/x
  3. Step 3: Cross multiply
    106,392,216x = 229,759,440 × 229,759,440
  4. Step 4: Simplify right side
    106,392,216x = 52,789,400,269,113,600
  5. Step 5: Solve for x
    x = 52,789,400,269,113,600/106,392,216
  6. Step 6: Final answer
    x = 496,177,279.26

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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.