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Finding the Third Proportional to 226,572,005.25 and 349,866,820.13

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Solution

The third proportional to 226,572,005.25 and 349,866,820.13 is: 540,255,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,005.25 : 349,866,820.13 = 349,866,820.13 : x
  2. Step 2: Convert to fraction form
    226,572,005.25/349,866,820.13 = 349,866,820.13/x
  3. Step 3: Cross multiply
    226,572,005.25x = 349,866,820.13 × 349,866,820.13
  4. Step 4: Simplify right side
    226,572,005.25x = 122,406,791,824,379,104
  5. Step 5: Solve for x
    x = 122,406,791,824,379,104/226,572,005.25
  6. Step 6: Final answer
    x = 540,255,587.57

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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.