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Finding the Third Proportional to 162,733,071 and 245,612,967

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Solution

The third proportional to 162,733,071 and 245,612,967 is: 370,703,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733,071 : 245,612,967 = 245,612,967 : x
  2. Step 2: Convert to fraction form
    162,733,071/245,612,967 = 245,612,967/x
  3. Step 3: Cross multiply
    162,733,071x = 245,612,967 × 245,612,967
  4. Step 4: Simplify right side
    162,733,071x = 60,325,729,558,543,088
  5. Step 5: Solve for x
    x = 60,325,729,558,543,088/162,733,071
  6. Step 6: Final answer
    x = 370,703,564.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.