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Finding the Third Proportional to 105,399,600 and 228,390,780

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Solution

The third proportional to 105,399,600 and 228,390,780 is: 494,900,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,399,600 : 228,390,780 = 228,390,780 : x
  2. Step 2: Convert to fraction form
    105,399,600/228,390,780 = 228,390,780/x
  3. Step 3: Cross multiply
    105,399,600x = 228,390,780 × 228,390,780
  4. Step 4: Simplify right side
    105,399,600x = 52,162,348,389,008,400
  5. Step 5: Solve for x
    x = 52,162,348,389,008,400/105,399,600
  6. Step 6: Final answer
    x = 494,900,819.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.