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Finding the Third Proportional to 108,810,408 and 229,902,072

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Solution

The third proportional to 108,810,408 and 229,902,072 is: 485,752,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,810,408 : 229,902,072 = 229,902,072 : x
  2. Step 2: Convert to fraction form
    108,810,408/229,902,072 = 229,902,072/x
  3. Step 3: Cross multiply
    108,810,408x = 229,902,072 × 229,902,072
  4. Step 4: Simplify right side
    108,810,408x = 52,854,962,709,893,184
  5. Step 5: Solve for x
    x = 52,854,962,709,893,184/108,810,408
  6. Step 6: Final answer
    x = 485,752,821.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.