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Finding the Third Proportional to 136,497,284,379 and 296,752,650,693

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Solution

The third proportional to 136,497,284,379 and 296,752,650,693 is: 645,156,686,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,497,284,379 : 296,752,650,693 = 296,752,650,693 : x
  2. Step 2: Convert to fraction form
    136,497,284,379/296,752,650,693 = 296,752,650,693/x
  3. Step 3: Cross multiply
    136,497,284,379x = 296,752,650,693 × 296,752,650,693
  4. Step 4: Simplify right side
    136,497,284,379x = 88,062,135,693,321,674,162,176
  5. Step 5: Solve for x
    x = 88,062,135,693,321,674,162,176/136,497,284,379
  6. Step 6: Final answer
    x = 645,156,686,405.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.