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Finding the Third Proportional to 238,152,441 and 512,796,071

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Solution

The third proportional to 238,152,441 and 512,796,071 is: 1,104,165,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,152,441 : 512,796,071 = 512,796,071 : x
  2. Step 2: Convert to fraction form
    238,152,441/512,796,071 = 512,796,071/x
  3. Step 3: Cross multiply
    238,152,441x = 512,796,071 × 512,796,071
  4. Step 4: Simplify right side
    238,152,441x = 262,959,810,433,037,056
  5. Step 5: Solve for x
    x = 262,959,810,433,037,056/238,152,441
  6. Step 6: Final answer
    x = 1,104,165,925.53

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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.