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Finding the Third Proportional to 200,941,129 and 432,671,698

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Solution

The third proportional to 200,941,129 and 432,671,698 is: 931,640,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941,129 : 432,671,698 = 432,671,698 : x
  2. Step 2: Convert to fraction form
    200,941,129/432,671,698 = 432,671,698/x
  3. Step 3: Cross multiply
    200,941,129x = 432,671,698 × 432,671,698
  4. Step 4: Simplify right side
    200,941,129x = 187,204,798,250,203,200
  5. Step 5: Solve for x
    x = 187,204,798,250,203,200/200,941,129
  6. Step 6: Final answer
    x = 931,640,024.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.