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Finding the Third Proportional to 89,307,169 and 192,298,533

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Solution

The third proportional to 89,307,169 and 192,298,533 is: 414,062,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307,169 : 192,298,533 = 192,298,533 : x
  2. Step 2: Convert to fraction form
    89,307,169/192,298,533 = 192,298,533/x
  3. Step 3: Cross multiply
    89,307,169x = 192,298,533 × 192,298,533
  4. Step 4: Simplify right side
    89,307,169x = 36,978,725,793,952,088
  5. Step 5: Solve for x
    x = 36,978,725,793,952,088/89,307,169
  6. Step 6: Final answer
    x = 414,062,232.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.