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Finding the Third Proportional to 132,374,025 and 204,143,718

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Solution

The third proportional to 132,374,025 and 204,143,718 is: 314,825,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,374,025 : 204,143,718 = 204,143,718 : x
  2. Step 2: Convert to fraction form
    132,374,025/204,143,718 = 204,143,718/x
  3. Step 3: Cross multiply
    132,374,025x = 204,143,718 × 204,143,718
  4. Step 4: Simplify right side
    132,374,025x = 41,674,657,598,863,520
  5. Step 5: Solve for x
    x = 41,674,657,598,863,520/132,374,025
  6. Step 6: Final answer
    x = 314,825,039.12

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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.