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Finding the Third Proportional to 138,407,205 and 194,660,473

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Solution

The third proportional to 138,407,205 and 194,660,473 is: 273,776,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407,205 : 194,660,473 = 194,660,473 : x
  2. Step 2: Convert to fraction form
    138,407,205/194,660,473 = 194,660,473/x
  3. Step 3: Cross multiply
    138,407,205x = 194,660,473 × 194,660,473
  4. Step 4: Simplify right side
    138,407,205x = 37,892,699,748,583,728
  5. Step 5: Solve for x
    x = 37,892,699,748,583,728/138,407,205
  6. Step 6: Final answer
    x = 273,776,930.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.