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Finding the Third Proportional to 89,445,702.94 and 189,204,375.23

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Solution

The third proportional to 89,445,702.94 and 189,204,375.23 is: 400,223,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,445,702.94 : 189,204,375.23 = 189,204,375.23 : x
  2. Step 2: Convert to fraction form
    89,445,702.94/189,204,375.23 = 189,204,375.23/x
  3. Step 3: Cross multiply
    89,445,702.94x = 189,204,375.23 × 189,204,375.23
  4. Step 4: Simplify right side
    89,445,702.94x = 35,798,295,607,828,280
  5. Step 5: Solve for x
    x = 35,798,295,607,828,280/89,445,702.94
  6. Step 6: Final answer
    x = 400,223,760.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.