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Finding the Third Proportional to 106,648,276 and 159,274,806

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Solution

The third proportional to 106,648,276 and 159,274,806 is: 237,870,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,648,276 : 159,274,806 = 159,274,806 : x
  2. Step 2: Convert to fraction form
    106,648,276/159,274,806 = 159,274,806/x
  3. Step 3: Cross multiply
    106,648,276x = 159,274,806 × 159,274,806
  4. Step 4: Simplify right side
    106,648,276x = 25,368,463,826,337,636
  5. Step 5: Solve for x
    x = 25,368,463,826,337,636/106,648,276
  6. Step 6: Final answer
    x = 237,870,360.20

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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.