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Finding the Third Proportional to 96,019,818 and 137,210,106

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Solution

The third proportional to 96,019,818 and 137,210,106 is: 196,070,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,019,818 : 137,210,106 = 137,210,106 : x
  2. Step 2: Convert to fraction form
    96,019,818/137,210,106 = 137,210,106/x
  3. Step 3: Cross multiply
    96,019,818x = 137,210,106 × 137,210,106
  4. Step 4: Simplify right side
    96,019,818x = 18,826,613,188,531,236
  5. Step 5: Solve for x
    x = 18,826,613,188,531,236/96,019,818
  6. Step 6: Final answer
    x = 196,070,077.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.