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Finding the Third Proportional to 106,221,830.25 and 228,586,200

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Solution

The third proportional to 106,221,830.25 and 228,586,200 is: 491,910,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221,830.25 : 228,586,200 = 228,586,200 : x
  2. Step 2: Convert to fraction form
    106,221,830.25/228,586,200 = 228,586,200/x
  3. Step 3: Cross multiply
    106,221,830.25x = 228,586,200 × 228,586,200
  4. Step 4: Simplify right side
    106,221,830.25x = 52,251,650,830,440,000
  5. Step 5: Solve for x
    x = 52,251,650,830,440,000/106,221,830.25
  6. Step 6: Final answer
    x = 491,910,661.94

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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.