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Finding the Third Proportional to 86,461,176.94 and 188,273,905.88

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Solution

The third proportional to 86,461,176.94 and 188,273,905.88 is: 409,976,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461,176.94 : 188,273,905.88 = 188,273,905.88 : x
  2. Step 2: Convert to fraction form
    86,461,176.94/188,273,905.88 = 188,273,905.88/x
  3. Step 3: Cross multiply
    86,461,176.94x = 188,273,905.88 × 188,273,905.88
  4. Step 4: Simplify right side
    86,461,176.94x = 35,447,063,633,428,360
  5. Step 5: Solve for x
    x = 35,447,063,633,428,360/86,461,176.94
  6. Step 6: Final answer
    x = 409,976,649.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.