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Finding the Third Proportional to 148,062,906 and 236,441,088

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Solution

The third proportional to 148,062,906 and 236,441,088 is: 377,571,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,062,906 : 236,441,088 = 236,441,088 : x
  2. Step 2: Convert to fraction form
    148,062,906/236,441,088 = 236,441,088/x
  3. Step 3: Cross multiply
    148,062,906x = 236,441,088 × 236,441,088
  4. Step 4: Simplify right side
    148,062,906x = 55,904,388,094,623,744
  5. Step 5: Solve for x
    x = 55,904,388,094,623,744/148,062,906
  6. Step 6: Final answer
    x = 377,571,868.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.