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Finding the Third Proportional to 136,328,671.50 and 215,906,266.50

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Solution

The third proportional to 136,328,671.50 and 215,906,266.50 is: 341,934,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,328,671.50 : 215,906,266.50 = 215,906,266.50 : x
  2. Step 2: Convert to fraction form
    136,328,671.50/215,906,266.50 = 215,906,266.50/x
  3. Step 3: Cross multiply
    136,328,671.50x = 215,906,266.50 × 215,906,266.50
  4. Step 4: Simplify right side
    136,328,671.50x = 46,615,515,913,969,024
  5. Step 5: Solve for x
    x = 46,615,515,913,969,024/136,328,671.50
  6. Step 6: Final answer
    x = 341,934,791.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.