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Finding the Third Proportional to 72,761,904 and 157,804,037

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Solution

The third proportional to 72,761,904 and 157,804,037 is: 342,241,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761,904 : 157,804,037 = 157,804,037 : x
  2. Step 2: Convert to fraction form
    72,761,904/157,804,037 = 157,804,037/x
  3. Step 3: Cross multiply
    72,761,904x = 157,804,037 × 157,804,037
  4. Step 4: Simplify right side
    72,761,904x = 24,902,114,093,497,368
  5. Step 5: Solve for x
    x = 24,902,114,093,497,368/72,761,904
  6. Step 6: Final answer
    x = 342,241,100.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.