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Finding the Third Proportional to 78,305,794 and 117,404,358

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Solution

The third proportional to 78,305,794 and 117,404,358 is: 176,025,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305,794 : 117,404,358 = 117,404,358 : x
  2. Step 2: Convert to fraction form
    78,305,794/117,404,358 = 117,404,358/x
  3. Step 3: Cross multiply
    78,305,794x = 117,404,358 × 117,404,358
  4. Step 4: Simplify right side
    78,305,794x = 13,783,783,277,392,164
  5. Step 5: Solve for x
    x = 13,783,783,277,392,164/78,305,794
  6. Step 6: Final answer
    x = 176,025,075.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.