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Finding the Third Proportional to 272,133,420 and 420,230,622

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Solution

The third proportional to 272,133,420 and 420,230,622 is: 648,923,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,133,420 : 420,230,622 = 420,230,622 : x
  2. Step 2: Convert to fraction form
    272,133,420/420,230,622 = 420,230,622/x
  3. Step 3: Cross multiply
    272,133,420x = 420,230,622 × 420,230,622
  4. Step 4: Simplify right side
    272,133,420x = 176,593,775,666,506,880
  5. Step 5: Solve for x
    x = 176,593,775,666,506,880/272,133,420
  6. Step 6: Final answer
    x = 648,923,515.78

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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.