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Finding the Third Proportional to 134,701,864 and 197,013,947

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Solution

The third proportional to 134,701,864 and 197,013,947 is: 288,151,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701,864 : 197,013,947 = 197,013,947 : x
  2. Step 2: Convert to fraction form
    134,701,864/197,013,947 = 197,013,947/x
  3. Step 3: Cross multiply
    134,701,864x = 197,013,947 × 197,013,947
  4. Step 4: Simplify right side
    134,701,864x = 38,814,495,312,518,808
  5. Step 5: Solve for x
    x = 38,814,495,312,518,808/134,701,864
  6. Step 6: Final answer
    x = 288,151,137.33

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Why These Related Problems?

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