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Finding the Third Proportional to 226,571,973.75 and 349,866,768.38

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Solution

The third proportional to 226,571,973.75 and 349,866,768.38 is: 540,255,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,571,973.75 : 349,866,768.38 = 349,866,768.38 : x
  2. Step 2: Convert to fraction form
    226,571,973.75/349,866,768.38 = 349,866,768.38/x
  3. Step 3: Cross multiply
    226,571,973.75x = 349,866,768.38 × 349,866,768.38
  4. Step 4: Simplify right side
    226,571,973.75x = 122,406,755,613,165,904
  5. Step 5: Solve for x
    x = 122,406,755,613,165,904/226,571,973.75
  6. Step 6: Final answer
    x = 540,255,502.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.