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Finding the Third Proportional to 86,137,264 and 132,398,916

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Solution

The third proportional to 86,137,264 and 132,398,916 is: 203,506,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,137,264 : 132,398,916 = 132,398,916 : x
  2. Step 2: Convert to fraction form
    86,137,264/132,398,916 = 132,398,916/x
  3. Step 3: Cross multiply
    86,137,264x = 132,398,916 × 132,398,916
  4. Step 4: Simplify right side
    86,137,264x = 17,529,472,957,975,056
  5. Step 5: Solve for x
    x = 17,529,472,957,975,056/86,137,264
  6. Step 6: Final answer
    x = 203,506,265.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.