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Finding the Third Proportional to 101,026,456.50 and 147,760,543.50

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Solution

The third proportional to 101,026,456.50 and 147,760,543.50 is: 216,113,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,456.50 : 147,760,543.50 = 147,760,543.50 : x
  2. Step 2: Convert to fraction form
    101,026,456.50/147,760,543.50 = 147,760,543.50/x
  3. Step 3: Cross multiply
    101,026,456.50x = 147,760,543.50 × 147,760,543.50
  4. Step 4: Simplify right side
    101,026,456.50x = 21,833,178,215,415,392
  5. Step 5: Solve for x
    x = 21,833,178,215,415,392/101,026,456.50
  6. Step 6: Final answer
    x = 216,113,471.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.