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Finding the Third Proportional to 129,975,536 and 201,904,832

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Solution

The third proportional to 129,975,536 and 201,904,832 is: 313,640,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,975,536 : 201,904,832 = 201,904,832 : x
  2. Step 2: Convert to fraction form
    129,975,536/201,904,832 = 201,904,832/x
  3. Step 3: Cross multiply
    129,975,536x = 201,904,832 × 201,904,832
  4. Step 4: Simplify right side
    129,975,536x = 40,765,561,184,948,224
  5. Step 5: Solve for x
    x = 40,765,561,184,948,224/129,975,536
  6. Step 6: Final answer
    x = 313,640,262.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.