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Finding the Third Proportional to 73,165,869 and 107,727,808.50

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Solution

The third proportional to 73,165,869 and 107,727,808.50 is: 158,616,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165,869 : 107,727,808.50 = 107,727,808.50 : x
  2. Step 2: Convert to fraction form
    73,165,869/107,727,808.50 = 107,727,808.50/x
  3. Step 3: Cross multiply
    73,165,869x = 107,727,808.50 × 107,727,808.50
  4. Step 4: Simplify right side
    73,165,869x = 11,605,280,724,212,672
  5. Step 5: Solve for x
    x = 11,605,280,724,212,672/73,165,869
  6. Step 6: Final answer
    x = 158,616,044.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.