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Finding the Third Proportional to 272,142,093.94 and 420,246,014.91

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Solution

The third proportional to 272,142,093.94 and 420,246,014.91 is: 648,950,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,142,093.94 : 420,246,014.91 = 420,246,014.91 : x
  2. Step 2: Convert to fraction form
    272,142,093.94/420,246,014.91 = 420,246,014.91/x
  3. Step 3: Cross multiply
    272,142,093.94x = 420,246,014.91 × 420,246,014.91
  4. Step 4: Simplify right side
    272,142,093.94x = 176,606,713,044,584,096
  5. Step 5: Solve for x
    x = 176,606,713,044,584,096/272,142,093.94
  6. Step 6: Final answer
    x = 648,950,371.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.