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Finding the Third Proportional to 73,637,109 and 160,202,856

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Solution

The third proportional to 73,637,109 and 160,202,856 is: 348,532,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,637,109 : 160,202,856 = 160,202,856 : x
  2. Step 2: Convert to fraction form
    73,637,109/160,202,856 = 160,202,856/x
  3. Step 3: Cross multiply
    73,637,109x = 160,202,856 × 160,202,856
  4. Step 4: Simplify right side
    73,637,109x = 25,664,955,070,556,736
  5. Step 5: Solve for x
    x = 25,664,955,070,556,736/73,637,109
  6. Step 6: Final answer
    x = 348,532,898.96

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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.