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Finding the Third Proportional to 148,062,912 and 221,223,456

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Solution

The third proportional to 148,062,912 and 221,223,456 is: 330,533,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,062,912 : 221,223,456 = 221,223,456 : x
  2. Step 2: Convert to fraction form
    148,062,912/221,223,456 = 221,223,456/x
  3. Step 3: Cross multiply
    148,062,912x = 221,223,456 × 221,223,456
  4. Step 4: Simplify right side
    148,062,912x = 48,939,817,484,583,936
  5. Step 5: Solve for x
    x = 48,939,817,484,583,936/148,062,912
  6. Step 6: Final answer
    x = 330,533,938.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.