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Finding the Third Proportional to 226,572,043.50 and 349,866,866.25

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Solution

The third proportional to 226,572,043.50 and 349,866,866.25 is: 540,255,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,043.50 : 349,866,866.25 = 349,866,866.25 : x
  2. Step 2: Convert to fraction form
    226,572,043.50/349,866,866.25 = 349,866,866.25/x
  3. Step 3: Cross multiply
    226,572,043.50x = 349,866,866.25 × 349,866,866.25
  4. Step 4: Simplify right side
    226,572,043.50x = 122,406,824,099,595,392
  5. Step 5: Solve for x
    x = 122,406,824,099,595,392/226,572,043.50
  6. Step 6: Final answer
    x = 540,255,638.82

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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.