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Finding the Third Proportional to 134,701,863.75 and 197,013,947.63

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Solution

The third proportional to 134,701,863.75 and 197,013,947.63 is: 288,151,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701,863.75 : 197,013,947.63 = 197,013,947.63 : x
  2. Step 2: Convert to fraction form
    134,701,863.75/197,013,947.63 = 197,013,947.63/x
  3. Step 3: Cross multiply
    134,701,863.75x = 197,013,947.63 × 197,013,947.63
  4. Step 4: Simplify right side
    134,701,863.75x = 38,814,495,558,786,240
  5. Step 5: Solve for x
    x = 38,814,495,558,786,240/134,701,863.75
  6. Step 6: Final answer
    x = 288,151,139.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.