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Finding the Third Proportional to 201,214,752 and 431,114,208

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Solution

The third proportional to 201,214,752 and 431,114,208 is: 923,687,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214,752 : 431,114,208 = 431,114,208 : x
  2. Step 2: Convert to fraction form
    201,214,752/431,114,208 = 431,114,208/x
  3. Step 3: Cross multiply
    201,214,752x = 431,114,208 × 431,114,208
  4. Step 4: Simplify right side
    201,214,752x = 185,859,460,339,467,264
  5. Step 5: Solve for x
    x = 185,859,460,339,467,264/201,214,752
  6. Step 6: Final answer
    x = 923,687,048.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.