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Finding the Third Proportional to 44,461,617.75 and 96,345,243

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Solution

The third proportional to 44,461,617.75 and 96,345,243 is: 208,773,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,461,617.75 : 96,345,243 = 96,345,243 : x
  2. Step 2: Convert to fraction form
    44,461,617.75/96,345,243 = 96,345,243/x
  3. Step 3: Cross multiply
    44,461,617.75x = 96,345,243 × 96,345,243
  4. Step 4: Simplify right side
    44,461,617.75x = 9,282,405,848,729,048
  5. Step 5: Solve for x
    x = 9,282,405,848,729,048/44,461,617.75
  6. Step 6: Final answer
    x = 208,773,461.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.