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Finding the Third Proportional to 175,709,297.25 and 257,095,945.13

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Solution

The third proportional to 175,709,297.25 and 257,095,945.13 is: 376,180,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,709,297.25 : 257,095,945.13 = 257,095,945.13 : x
  2. Step 2: Convert to fraction form
    175,709,297.25/257,095,945.13 = 257,095,945.13/x
  3. Step 3: Cross multiply
    175,709,297.25x = 257,095,945.13 × 257,095,945.13
  4. Step 4: Simplify right side
    175,709,297.25x = 66,098,324,999,717,008
  5. Step 5: Solve for x
    x = 66,098,324,999,717,008/175,709,297.25
  6. Step 6: Final answer
    x = 376,180,008.88

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