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Finding the Third Proportional to 97,988,364 and 213,907,212

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Solution

The third proportional to 97,988,364 and 213,907,212 is: 466,956,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,988,364 : 213,907,212 = 213,907,212 : x
  2. Step 2: Convert to fraction form
    97,988,364/213,907,212 = 213,907,212/x
  3. Step 3: Cross multiply
    97,988,364x = 213,907,212 × 213,907,212
  4. Step 4: Simplify right side
    97,988,364x = 45,756,295,345,612,944
  5. Step 5: Solve for x
    x = 45,756,295,345,612,944/97,988,364
  6. Step 6: Final answer
    x = 466,956,416.84

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