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Finding the Third Proportional to 214,880,131.13 and 460,395,621.56

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Solution

The third proportional to 214,880,131.13 and 460,395,621.56 is: 986,429,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,880,131.13 : 460,395,621.56 = 460,395,621.56 : x
  2. Step 2: Convert to fraction form
    214,880,131.13/460,395,621.56 = 460,395,621.56/x
  3. Step 3: Cross multiply
    214,880,131.13x = 460,395,621.56 × 460,395,621.56
  4. Step 4: Simplify right side
    214,880,131.13x = 211,964,128,353,920,704
  5. Step 5: Solve for x
    x = 211,964,128,353,920,704/214,880,131.13
  6. Step 6: Final answer
    x = 986,429,630.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.