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Finding the Third Proportional to 126,156,970 and 184,445,907

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Solution

The third proportional to 126,156,970 and 184,445,907 is: 269,666,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,970 : 184,445,907 = 184,445,907 : x
  2. Step 2: Convert to fraction form
    126,156,970/184,445,907 = 184,445,907/x
  3. Step 3: Cross multiply
    126,156,970x = 184,445,907 × 184,445,907
  4. Step 4: Simplify right side
    126,156,970x = 34,020,292,609,052,648
  5. Step 5: Solve for x
    x = 34,020,292,609,052,648/126,156,970
  6. Step 6: Final answer
    x = 269,666,373.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.