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Finding the Third Proportional to 243,848,128 and 371,488,956

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Solution

The third proportional to 243,848,128 and 371,488,956 is: 565,942,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,848,128 : 371,488,956 = 371,488,956 : x
  2. Step 2: Convert to fraction form
    243,848,128/371,488,956 = 371,488,956/x
  3. Step 3: Cross multiply
    243,848,128x = 371,488,956 × 371,488,956
  4. Step 4: Simplify right side
    243,848,128x = 138,004,044,429,969,936
  5. Step 5: Solve for x
    x = 138,004,044,429,969,936/243,848,128
  6. Step 6: Final answer
    x = 565,942,603.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.