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Finding the Third Proportional to 82,773,352 and 125,305,152

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Solution

The third proportional to 82,773,352 and 125,305,152 is: 189,691,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,773,352 : 125,305,152 = 125,305,152 : x
  2. Step 2: Convert to fraction form
    82,773,352/125,305,152 = 125,305,152/x
  3. Step 3: Cross multiply
    82,773,352x = 125,305,152 × 125,305,152
  4. Step 4: Simplify right side
    82,773,352x = 15,701,381,117,743,104
  5. Step 5: Solve for x
    x = 15,701,381,117,743,104/82,773,352
  6. Step 6: Final answer
    x = 189,691,256.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.