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Finding the Third Proportional to 96,019,848 and 137,210,140

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Solution

The third proportional to 96,019,848 and 137,210,140 is: 196,070,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,019,848 : 137,210,140 = 137,210,140 : x
  2. Step 2: Convert to fraction form
    96,019,848/137,210,140 = 137,210,140/x
  3. Step 3: Cross multiply
    96,019,848x = 137,210,140 × 137,210,140
  4. Step 4: Simplify right side
    96,019,848x = 18,826,622,518,819,600
  5. Step 5: Solve for x
    x = 18,826,622,518,819,600/96,019,848
  6. Step 6: Final answer
    x = 196,070,113.74

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