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Finding the Third Proportional to 67,298,693 and 146,083,105

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Solution

The third proportional to 67,298,693 and 146,083,105 is: 317,097,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,693 : 146,083,105 = 146,083,105 : x
  2. Step 2: Convert to fraction form
    67,298,693/146,083,105 = 146,083,105/x
  3. Step 3: Cross multiply
    67,298,693x = 146,083,105 × 146,083,105
  4. Step 4: Simplify right side
    67,298,693x = 21,340,273,566,441,024
  5. Step 5: Solve for x
    x = 21,340,273,566,441,024/67,298,693
  6. Step 6: Final answer
    x = 317,097,890.24

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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.