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Finding the Third Proportional to 175,709,255.06 and 257,095,888.31

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Solution

The third proportional to 175,709,255.06 and 257,095,888.31 is: 376,179,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,709,255.06 : 257,095,888.31 = 257,095,888.31 : x
  2. Step 2: Convert to fraction form
    175,709,255.06/257,095,888.31 = 257,095,888.31/x
  3. Step 3: Cross multiply
    175,709,255.06x = 257,095,888.31 × 257,095,888.31
  4. Step 4: Simplify right side
    175,709,255.06x = 66,098,295,787,193,472
  5. Step 5: Solve for x
    x = 66,098,295,787,193,472/175,709,255.06
  6. Step 6: Final answer
    x = 376,179,932.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.