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Finding the Third Proportional to 117,984,765.38 and 164,048,385.52

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Solution

The third proportional to 117,984,765.38 and 164,048,385.52 is: 228,096,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,984,765.38 : 164,048,385.52 = 164,048,385.52 : x
  2. Step 2: Convert to fraction form
    117,984,765.38/164,048,385.52 = 164,048,385.52/x
  3. Step 3: Cross multiply
    117,984,765.38x = 164,048,385.52 × 164,048,385.52
  4. Step 4: Simplify right side
    117,984,765.38x = 26,911,872,790,281,480
  5. Step 5: Solve for x
    x = 26,911,872,790,281,480/117,984,765.38
  6. Step 6: Final answer
    x = 228,096,167.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.