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Finding the Third Proportional to 226,572,022.13 and 349,866,840.38

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Solution

The third proportional to 226,572,022.13 and 349,866,840.38 is: 540,255,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,022.13 : 349,866,840.38 = 349,866,840.38 : x
  2. Step 2: Convert to fraction form
    226,572,022.13/349,866,840.38 = 349,866,840.38/x
  3. Step 3: Cross multiply
    226,572,022.13x = 349,866,840.38 × 349,866,840.38
  4. Step 4: Simplify right side
    226,572,022.13x = 122,406,805,993,985,728
  5. Step 5: Solve for x
    x = 122,406,805,993,985,728/226,572,022.13
  6. Step 6: Final answer
    x = 540,255,609.88

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Why These Related Problems?

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