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Finding the Third Proportional to 129,043,548.98 and 197,268,381.49

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Solution

The third proportional to 129,043,548.98 and 197,268,381.49 is: 301,563,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,043,548.98 : 197,268,381.49 = 197,268,381.49 : x
  2. Step 2: Convert to fraction form
    129,043,548.98/197,268,381.49 = 197,268,381.49/x
  3. Step 3: Cross multiply
    129,043,548.98x = 197,268,381.49 × 197,268,381.49
  4. Step 4: Simplify right side
    129,043,548.98x = 38,914,814,336,544,264
  5. Step 5: Solve for x
    x = 38,914,814,336,544,264/129,043,548.98
  6. Step 6: Final answer
    x = 301,563,422.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.