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Finding the Third Proportional to 214,881,061.50 and 460,397,434.50

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Solution

The third proportional to 214,881,061.50 and 460,397,434.50 is: 986,433,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881,061.50 : 460,397,434.50 = 460,397,434.50 : x
  2. Step 2: Convert to fraction form
    214,881,061.50/460,397,434.50 = 460,397,434.50/x
  3. Step 3: Cross multiply
    214,881,061.50x = 460,397,434.50 × 460,397,434.50
  4. Step 4: Simplify right side
    214,881,061.50x = 211,965,797,694,181,792
  5. Step 5: Solve for x
    x = 211,965,797,694,181,792/214,881,061.50
  6. Step 6: Final answer
    x = 986,433,128.24

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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.