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Finding the Third Proportional to 152,307,296 and 232,032,074

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Solution

The third proportional to 152,307,296 and 232,032,074 is: 353,488,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,296 : 232,032,074 = 232,032,074 : x
  2. Step 2: Convert to fraction form
    152,307,296/232,032,074 = 232,032,074/x
  3. Step 3: Cross multiply
    152,307,296x = 232,032,074 × 232,032,074
  4. Step 4: Simplify right side
    152,307,296x = 53,838,883,364,741,472
  5. Step 5: Solve for x
    x = 53,838,883,364,741,472/152,307,296
  6. Step 6: Final answer
    x = 353,488,537.84

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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.