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Finding the Third Proportional to 67,298,722 and 146,083,166.25

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Solution

The third proportional to 67,298,722 and 146,083,166.25 is: 317,098,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,722 : 146,083,166.25 = 146,083,166.25 : x
  2. Step 2: Convert to fraction form
    67,298,722/146,083,166.25 = 146,083,166.25/x
  3. Step 3: Cross multiply
    67,298,722x = 146,083,166.25 × 146,083,166.25
  4. Step 4: Simplify right side
    67,298,722x = 21,340,291,461,625,140
  5. Step 5: Solve for x
    x = 21,340,291,461,625,140/67,298,722
  6. Step 6: Final answer
    x = 317,098,019.51

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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.