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Finding the Third Proportional to 188,746,212 and 255,008,106

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Solution

The third proportional to 188,746,212 and 255,008,106 is: 344,532,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,746,212 : 255,008,106 = 255,008,106 : x
  2. Step 2: Convert to fraction form
    188,746,212/255,008,106 = 255,008,106/x
  3. Step 3: Cross multiply
    188,746,212x = 255,008,106 × 255,008,106
  4. Step 4: Simplify right side
    188,746,212x = 65,029,134,125,707,232
  5. Step 5: Solve for x
    x = 65,029,134,125,707,232/188,746,212
  6. Step 6: Final answer
    x = 344,532,128.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.