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Finding the Third Proportional to 97,426,467 and 212,003,919

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Solution

The third proportional to 97,426,467 and 212,003,919 is: 461,329,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426,467 : 212,003,919 = 212,003,919 : x
  2. Step 2: Convert to fraction form
    97,426,467/212,003,919 = 212,003,919/x
  3. Step 3: Cross multiply
    97,426,467x = 212,003,919 × 212,003,919
  4. Step 4: Simplify right side
    97,426,467x = 44,945,661,671,358,560
  5. Step 5: Solve for x
    x = 44,945,661,671,358,560/97,426,467
  6. Step 6: Final answer
    x = 461,329,072.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.