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Finding the Third Proportional to 103,451,906 and 162,285,123

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Solution

The third proportional to 103,451,906 and 162,285,123 is: 254,576,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,451,906 : 162,285,123 = 162,285,123 : x
  2. Step 2: Convert to fraction form
    103,451,906/162,285,123 = 162,285,123/x
  3. Step 3: Cross multiply
    103,451,906x = 162,285,123 × 162,285,123
  4. Step 4: Simplify right side
    103,451,906x = 26,336,461,147,125,128
  5. Step 5: Solve for x
    x = 26,336,461,147,125,128/103,451,906
  6. Step 6: Final answer
    x = 254,576,857.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.