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Finding the Third Proportional to 116,575,102.13 and 241,403,942.25

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Solution

The third proportional to 116,575,102.13 and 241,403,942.25 is: 499,899,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,575,102.13 : 241,403,942.25 = 241,403,942.25 : x
  2. Step 2: Convert to fraction form
    116,575,102.13/241,403,942.25 = 241,403,942.25/x
  3. Step 3: Cross multiply
    116,575,102.13x = 241,403,942.25 × 241,403,942.25
  4. Step 4: Simplify right side
    116,575,102.13x = 58,275,863,333,841,336
  5. Step 5: Solve for x
    x = 58,275,863,333,841,336/116,575,102.13
  6. Step 6: Final answer
    x = 499,899,740.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.