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Finding the Third Proportional to 148,062,780 and 221,223,234

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Solution

The third proportional to 148,062,780 and 221,223,234 is: 330,533,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,062,780 : 221,223,234 = 221,223,234 : x
  2. Step 2: Convert to fraction form
    148,062,780/221,223,234 = 221,223,234/x
  3. Step 3: Cross multiply
    148,062,780x = 221,223,234 × 221,223,234
  4. Step 4: Simplify right side
    148,062,780x = 48,939,719,261,418,752
  5. Step 5: Solve for x
    x = 48,939,719,261,418,752/148,062,780
  6. Step 6: Final answer
    x = 330,533,570.03

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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.