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Finding the Third Proportional to 106,567,390 and 233,064,668

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Solution

The third proportional to 106,567,390 and 233,064,668 is: 509,716,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567,390 : 233,064,668 = 233,064,668 : x
  2. Step 2: Convert to fraction form
    106,567,390/233,064,668 = 233,064,668/x
  3. Step 3: Cross multiply
    106,567,390x = 233,064,668 × 233,064,668
  4. Step 4: Simplify right side
    106,567,390x = 54,319,139,469,950,224
  5. Step 5: Solve for x
    x = 54,319,139,469,950,224/106,567,390
  6. Step 6: Final answer
    x = 509,716,335.08

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