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Finding the Third Proportional to 106,533,120 and 229,848,576

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Solution

The third proportional to 106,533,120 and 229,848,576 is: 495,905,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,533,120 : 229,848,576 = 229,848,576 : x
  2. Step 2: Convert to fraction form
    106,533,120/229,848,576 = 229,848,576/x
  3. Step 3: Cross multiply
    106,533,120x = 229,848,576 × 229,848,576
  4. Step 4: Simplify right side
    106,533,120x = 52,830,367,889,227,776
  5. Step 5: Solve for x
    x = 52,830,367,889,227,776/106,533,120
  6. Step 6: Final answer
    x = 495,905,572.74

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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.