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Finding the Third Proportional to 97,988,366 and 213,907,216

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Solution

The third proportional to 97,988,366 and 213,907,216 is: 466,956,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,988,366 : 213,907,216 = 213,907,216 : x
  2. Step 2: Convert to fraction form
    97,988,366/213,907,216 = 213,907,216/x
  3. Step 3: Cross multiply
    97,988,366x = 213,907,216 × 213,907,216
  4. Step 4: Simplify right side
    97,988,366x = 45,756,297,056,870,656
  5. Step 5: Solve for x
    x = 45,756,297,056,870,656/97,988,366
  6. Step 6: Final answer
    x = 466,956,424.77

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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.