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Finding the Third Proportional to 226,572,082 and 349,866,942

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Solution

The third proportional to 226,572,082 and 349,866,942 is: 540,255,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,082 : 349,866,942 = 349,866,942 : x
  2. Step 2: Convert to fraction form
    226,572,082/349,866,942 = 349,866,942/x
  3. Step 3: Cross multiply
    226,572,082x = 349,866,942 × 349,866,942
  4. Step 4: Simplify right side
    226,572,082x = 122,406,877,104,431,360
  5. Step 5: Solve for x
    x = 122,406,877,104,431,360/226,572,082
  6. Step 6: Final answer
    x = 540,255,780.96

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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.