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Finding the Third Proportional to 44,729,954 and 97,834,642

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Solution

The third proportional to 44,729,954 and 97,834,642 is: 213,986,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,729,954 : 97,834,642 = 97,834,642 : x
  2. Step 2: Convert to fraction form
    44,729,954/97,834,642 = 97,834,642/x
  3. Step 3: Cross multiply
    44,729,954x = 97,834,642 × 97,834,642
  4. Step 4: Simplify right side
    44,729,954x = 9,571,617,175,268,164
  5. Step 5: Solve for x
    x = 9,571,617,175,268,164/44,729,954
  6. Step 6: Final answer
    x = 213,986,743.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.