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Finding the Third Proportional to 120,446,077,207.50 and 182,220,752,524.50

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Solution

The third proportional to 120,446,077,207.50 and 182,220,752,524.50 is: 275,678,572,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,446,077,207.50 : 182,220,752,524.50 = 182,220,752,524.50 : x
  2. Step 2: Convert to fraction form
    120,446,077,207.50/182,220,752,524.50 = 182,220,752,524.50/x
  3. Step 3: Cross multiply
    120,446,077,207.50x = 182,220,752,524.50 × 182,220,752,524.50
  4. Step 4: Simplify right side
    120,446,077,207.50x = 33,204,402,650,595,073,196,032
  5. Step 5: Solve for x
    x = 33,204,402,650,595,073,196,032/120,446,077,207.50
  6. Step 6: Final answer
    x = 275,678,572,689.35

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