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Finding the Third Proportional to 69,874,106 and 146,976,604

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Solution

The third proportional to 69,874,106 and 146,976,604 is: 309,157,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,874,106 : 146,976,604 = 146,976,604 : x
  2. Step 2: Convert to fraction form
    69,874,106/146,976,604 = 146,976,604/x
  3. Step 3: Cross multiply
    69,874,106x = 146,976,604 × 146,976,604
  4. Step 4: Simplify right side
    69,874,106x = 21,602,122,123,372,816
  5. Step 5: Solve for x
    x = 21,602,122,123,372,816/69,874,106
  6. Step 6: Final answer
    x = 309,157,760.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.