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Finding the Third Proportional to 117,947,370.38 and 184,621,345.88

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Solution

The third proportional to 117,947,370.38 and 184,621,345.88 is: 288,985,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,947,370.38 : 184,621,345.88 = 184,621,345.88 : x
  2. Step 2: Convert to fraction form
    117,947,370.38/184,621,345.88 = 184,621,345.88/x
  3. Step 3: Cross multiply
    117,947,370.38x = 184,621,345.88 × 184,621,345.88
  4. Step 4: Simplify right side
    117,947,370.38x = 34,085,041,352,696,380
  5. Step 5: Solve for x
    x = 34,085,041,352,696,380/117,947,370.38
  6. Step 6: Final answer
    x = 288,985,174.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.