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Finding the Third Proportional to 142,177,691,296 and 296,123,346,488

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Solution

The third proportional to 142,177,691,296 and 296,123,346,488 is: 616,756,648,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,177,691,296 : 296,123,346,488 = 296,123,346,488 : x
  2. Step 2: Convert to fraction form
    142,177,691,296/296,123,346,488 = 296,123,346,488/x
  3. Step 3: Cross multiply
    142,177,691,296x = 296,123,346,488 × 296,123,346,488
  4. Step 4: Simplify right side
    142,177,691,296x = 87,689,036,335,252,104,019,968
  5. Step 5: Solve for x
    x = 87,689,036,335,252,104,019,968/142,177,691,296
  6. Step 6: Final answer
    x = 616,756,648,219.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.