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Finding the Third Proportional to 201,214,724 and 431,114,152

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Solution

The third proportional to 201,214,724 and 431,114,152 is: 923,686,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214,724 : 431,114,152 = 431,114,152 : x
  2. Step 2: Convert to fraction form
    201,214,724/431,114,152 = 431,114,152/x
  3. Step 3: Cross multiply
    201,214,724x = 431,114,152 × 431,114,152
  4. Step 4: Simplify right side
    201,214,724x = 185,859,412,054,679,104
  5. Step 5: Solve for x
    x = 185,859,412,054,679,104/201,214,724
  6. Step 6: Final answer
    x = 923,686,936.82

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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.