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Finding the Third Proportional to 116,387,823 and 175,067,653.50

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Solution

The third proportional to 116,387,823 and 175,067,653.50 is: 263,332,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,387,823 : 175,067,653.50 = 175,067,653.50 : x
  2. Step 2: Convert to fraction form
    116,387,823/175,067,653.50 = 175,067,653.50/x
  3. Step 3: Cross multiply
    116,387,823x = 175,067,653.50 × 175,067,653.50
  4. Step 4: Simplify right side
    116,387,823x = 30,648,683,301,996,064
  5. Step 5: Solve for x
    x = 30,648,683,301,996,064/116,387,823
  6. Step 6: Final answer
    x = 263,332,387.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.