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Finding the Third Proportional to 219,410,017 and 456,980,472

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Solution

The third proportional to 219,410,017 and 456,980,472 is: 951,784,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410,017 : 456,980,472 = 456,980,472 : x
  2. Step 2: Convert to fraction form
    219,410,017/456,980,472 = 456,980,472/x
  3. Step 3: Cross multiply
    219,410,017x = 456,980,472 × 456,980,472
  4. Step 4: Simplify right side
    219,410,017x = 208,831,151,789,342,784
  5. Step 5: Solve for x
    x = 208,831,151,789,342,784/219,410,017
  6. Step 6: Final answer
    x = 951,784,948.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.