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Finding the Third Proportional to 105,919,536 and 228,559,760

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Solution

The third proportional to 105,919,536 and 228,559,760 is: 493,200,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919,536 : 228,559,760 = 228,559,760 : x
  2. Step 2: Convert to fraction form
    105,919,536/228,559,760 = 228,559,760/x
  3. Step 3: Cross multiply
    105,919,536x = 228,559,760 × 228,559,760
  4. Step 4: Simplify right side
    105,919,536x = 52,239,563,891,257,600
  5. Step 5: Solve for x
    x = 52,239,563,891,257,600/105,919,536
  6. Step 6: Final answer
    x = 493,200,460.12

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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.