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Finding the Third Proportional to 230,997,478.22 and 352,314,391.96

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Solution

The third proportional to 230,997,478.22 and 352,314,391.96 is: 537,345,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,997,478.22 : 352,314,391.96 = 352,314,391.96 : x
  2. Step 2: Convert to fraction form
    230,997,478.22/352,314,391.96 = 352,314,391.96/x
  3. Step 3: Cross multiply
    230,997,478.22x = 352,314,391.96 × 352,314,391.96
  4. Step 4: Simplify right side
    230,997,478.22x = 124,125,430,780,044,704
  5. Step 5: Solve for x
    x = 124,125,430,780,044,704/230,997,478.22
  6. Step 6: Final answer
    x = 537,345,393.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.