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Finding the Third Proportional to 73,637,223 and 160,202,967

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Solution

The third proportional to 73,637,223 and 160,202,967 is: 348,532,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,637,223 : 160,202,967 = 160,202,967 : x
  2. Step 2: Convert to fraction form
    73,637,223/160,202,967 = 160,202,967/x
  3. Step 3: Cross multiply
    73,637,223x = 160,202,967 × 160,202,967
  4. Step 4: Simplify right side
    73,637,223x = 25,664,990,635,603,088
  5. Step 5: Solve for x
    x = 25,664,990,635,603,088/73,637,223
  6. Step 6: Final answer
    x = 348,532,842.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.