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Finding the Third Proportional to 152,307,256 and 232,032,012

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Solution

The third proportional to 152,307,256 and 232,032,012 is: 353,488,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,256 : 232,032,012 = 232,032,012 : x
  2. Step 2: Convert to fraction form
    152,307,256/232,032,012 = 232,032,012/x
  3. Step 3: Cross multiply
    152,307,256x = 232,032,012 × 232,032,012
  4. Step 4: Simplify right side
    152,307,256x = 53,838,854,592,768,144
  5. Step 5: Solve for x
    x = 53,838,854,592,768,144/152,307,256
  6. Step 6: Final answer
    x = 353,488,441.76

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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.