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Finding the Third Proportional to 127,091,766 and 190,466,898

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Solution

The third proportional to 127,091,766 and 190,466,898 is: 285,444,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,091,766 : 190,466,898 = 190,466,898 : x
  2. Step 2: Convert to fraction form
    127,091,766/190,466,898 = 190,466,898/x
  3. Step 3: Cross multiply
    127,091,766x = 190,466,898 × 190,466,898
  4. Step 4: Simplify right side
    127,091,766x = 36,277,639,233,742,400
  5. Step 5: Solve for x
    x = 36,277,639,233,742,400/127,091,766
  6. Step 6: Final answer
    x = 285,444,449.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.