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Finding the Third Proportional to 134,701,851 and 197,013,928.50

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Solution

The third proportional to 134,701,851 and 197,013,928.50 is: 288,151,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701,851 : 197,013,928.50 = 197,013,928.50 : x
  2. Step 2: Convert to fraction form
    134,701,851/197,013,928.50 = 197,013,928.50/x
  3. Step 3: Cross multiply
    134,701,851x = 197,013,928.50 × 197,013,928.50
  4. Step 4: Simplify right side
    134,701,851x = 38,814,488,023,003,112
  5. Step 5: Solve for x
    x = 38,814,488,023,003,112/134,701,851
  6. Step 6: Final answer
    x = 288,151,111.03

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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.