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Finding the Third Proportional to 106,567,394 and 233,064,676

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Solution

The third proportional to 106,567,394 and 233,064,676 is: 509,716,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567,394 : 233,064,676 = 233,064,676 : x
  2. Step 2: Convert to fraction form
    106,567,394/233,064,676 = 233,064,676/x
  3. Step 3: Cross multiply
    106,567,394x = 233,064,676 × 233,064,676
  4. Step 4: Simplify right side
    106,567,394x = 54,319,143,198,984,976
  5. Step 5: Solve for x
    x = 54,319,143,198,984,976/106,567,394
  6. Step 6: Final answer
    x = 509,716,350.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.