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Finding the Third Proportional to 101,950,983 and 151,015,360.50

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Solution

The third proportional to 101,950,983 and 151,015,360.50 is: 223,692,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,950,983 : 151,015,360.50 = 151,015,360.50 : x
  2. Step 2: Convert to fraction form
    101,950,983/151,015,360.50 = 151,015,360.50/x
  3. Step 3: Cross multiply
    101,950,983x = 151,015,360.50 × 151,015,360.50
  4. Step 4: Simplify right side
    101,950,983x = 22,805,639,106,944,960
  5. Step 5: Solve for x
    x = 22,805,639,106,944,960/101,950,983
  6. Step 6: Final answer
    x = 223,692,194.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.