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Finding the Third Proportional to 147,314,629.13 and 204,829,216.88

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Solution

The third proportional to 147,314,629.13 and 204,829,216.88 is: 284,798,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314,629.13 : 204,829,216.88 = 204,829,216.88 : x
  2. Step 2: Convert to fraction form
    147,314,629.13/204,829,216.88 = 204,829,216.88/x
  3. Step 3: Cross multiply
    147,314,629.13x = 204,829,216.88 × 204,829,216.88
  4. Step 4: Simplify right side
    147,314,629.13x = 41,955,008,085,625,784
  5. Step 5: Solve for x
    x = 41,955,008,085,625,784/147,314,629.13
  6. Step 6: Final answer
    x = 284,798,653.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.