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Finding the Third Proportional to 214,881,422.06 and 460,398,157.88

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Solution

The third proportional to 214,881,422.06 and 460,398,157.88 is: 986,434,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881,422.06 : 460,398,157.88 = 460,398,157.88 : x
  2. Step 2: Convert to fraction form
    214,881,422.06/460,398,157.88 = 460,398,157.88/x
  3. Step 3: Cross multiply
    214,881,422.06x = 460,398,157.88 × 460,398,157.88
  4. Step 4: Simplify right side
    214,881,422.06x = 211,966,463,774,693,440
  5. Step 5: Solve for x
    x = 211,966,463,774,693,440/214,881,422.06
  6. Step 6: Final answer
    x = 986,434,572.80

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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.