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Finding the Third Proportional to 71,088,845,548.50 and 148,061,673,049.50

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Solution

The third proportional to 71,088,845,548.50 and 148,061,673,049.50 is: 308,378,323,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088,845,548.50 : 148,061,673,049.50 = 148,061,673,049.50 : x
  2. Step 2: Convert to fraction form
    71,088,845,548.50/148,061,673,049.50 = 148,061,673,049.50/x
  3. Step 3: Cross multiply
    71,088,845,548.50x = 148,061,673,049.50 × 148,061,673,049.50
  4. Step 4: Simplify right side
    71,088,845,548.50x = 21,922,259,026,217,036,414,976
  5. Step 5: Solve for x
    x = 21,922,259,026,217,036,414,976/71,088,845,548.50
  6. Step 6: Final answer
    x = 308,378,323,730.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.