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Finding the Third Proportional to 148,586,916 and 312,214,344

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Solution

The third proportional to 148,586,916 and 312,214,344 is: 656,032,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,586,916 : 312,214,344 = 312,214,344 : x
  2. Step 2: Convert to fraction form
    148,586,916/312,214,344 = 312,214,344/x
  3. Step 3: Cross multiply
    148,586,916x = 312,214,344 × 312,214,344
  4. Step 4: Simplify right side
    148,586,916x = 97,477,796,599,350,336
  5. Step 5: Solve for x
    x = 97,477,796,599,350,336/148,586,916
  6. Step 6: Final answer
    x = 656,032,167.73

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Why These Related Problems?

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