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Finding the Third Proportional to 214,881,425 and 460,398,163

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Solution

The third proportional to 214,881,425 and 460,398,163 is: 986,434,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881,425 : 460,398,163 = 460,398,163 : x
  2. Step 2: Convert to fraction form
    214,881,425/460,398,163 = 460,398,163/x
  3. Step 3: Cross multiply
    214,881,425x = 460,398,163 × 460,398,163
  4. Step 4: Simplify right side
    214,881,425x = 211,966,468,493,774,560
  5. Step 5: Solve for x
    x = 211,966,468,493,774,560/214,881,425
  6. Step 6: Final answer
    x = 986,434,581.28

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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.