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Finding the Third Proportional to 213,088,212 and 467,652,888

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Solution

The third proportional to 213,088,212 and 467,652,888 is: 1,026,331,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,088,212 : 467,652,888 = 467,652,888 : x
  2. Step 2: Convert to fraction form
    213,088,212/467,652,888 = 467,652,888/x
  3. Step 3: Cross multiply
    213,088,212x = 467,652,888 × 467,652,888
  4. Step 4: Simplify right side
    213,088,212x = 218,699,223,654,740,544
  5. Step 5: Solve for x
    x = 218,699,223,654,740,544/213,088,212
  6. Step 6: Final answer
    x = 1,026,331,872.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.