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Finding the Third Proportional to 216,414,617.06 and 438,851,224.69

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Solution

The third proportional to 216,414,617.06 and 438,851,224.69 is: 889,913,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,414,617.06 : 438,851,224.69 = 438,851,224.69 : x
  2. Step 2: Convert to fraction form
    216,414,617.06/438,851,224.69 = 438,851,224.69/x
  3. Step 3: Cross multiply
    216,414,617.06x = 438,851,224.69 × 438,851,224.69
  4. Step 4: Simplify right side
    216,414,617.06x = 192,590,397,409,718,624
  5. Step 5: Solve for x
    x = 192,590,397,409,718,624/216,414,617.06
  6. Step 6: Final answer
    x = 889,913,999.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.