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Finding the Third Proportional to 75,807,951 and 116,450,284.50

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Solution

The third proportional to 75,807,951 and 116,450,284.50 is: 178,881,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807,951 : 116,450,284.50 = 116,450,284.50 : x
  2. Step 2: Convert to fraction form
    75,807,951/116,450,284.50 = 116,450,284.50/x
  3. Step 3: Cross multiply
    75,807,951x = 116,450,284.50 × 116,450,284.50
  4. Step 4: Simplify right side
    75,807,951x = 13,560,668,760,130,940
  5. Step 5: Solve for x
    x = 13,560,668,760,130,940/75,807,951
  6. Step 6: Final answer
    x = 178,881,879.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.