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Finding the Third Proportional to 182,536,110,676.50 and 390,192,908,169

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Solution

The third proportional to 182,536,110,676.50 and 390,192,908,169 is: 834,084,308,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,536,110,676.50 : 390,192,908,169 = 390,192,908,169 : x
  2. Step 2: Convert to fraction form
    182,536,110,676.50/390,192,908,169 = 390,192,908,169/x
  3. Step 3: Cross multiply
    182,536,110,676.50x = 390,192,908,169 × 390,192,908,169
  4. Step 4: Simplify right side
    182,536,110,676.50x = 152,250,505,585,381,657,804,800
  5. Step 5: Solve for x
    x = 152,250,505,585,381,657,804,800/182,536,110,676.50
  6. Step 6: Final answer
    x = 834,084,308,146.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.