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Finding the Third Proportional to 226,572,103.50 and 349,866,970.50

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Solution

The third proportional to 226,572,103.50 and 349,866,970.50 is: 540,255,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,103.50 : 349,866,970.50 = 349,866,970.50 : x
  2. Step 2: Convert to fraction form
    226,572,103.50/349,866,970.50 = 349,866,970.50/x
  3. Step 3: Cross multiply
    226,572,103.50x = 349,866,970.50 × 349,866,970.50
  4. Step 4: Simplify right side
    226,572,103.50x = 122,406,897,046,847,872
  5. Step 5: Solve for x
    x = 122,406,897,046,847,872/226,572,103.50
  6. Step 6: Final answer
    x = 540,255,817.71

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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.