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Finding the Third Proportional to 272,133,388 and 420,230,574

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Solution

The third proportional to 272,133,388 and 420,230,574 is: 648,923,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,133,388 : 420,230,574 = 420,230,574 : x
  2. Step 2: Convert to fraction form
    272,133,388/420,230,574 = 420,230,574/x
  3. Step 3: Cross multiply
    272,133,388x = 420,230,574 × 420,230,574
  4. Step 4: Simplify right side
    272,133,388x = 176,593,735,324,369,472
  5. Step 5: Solve for x
    x = 176,593,735,324,369,472/272,133,388
  6. Step 6: Final answer
    x = 648,923,443.84

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