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Finding the Third Proportional to 85,948,101 and 186,430,759.31

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Solution

The third proportional to 85,948,101 and 186,430,759.31 is: 404,388,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,948,101 : 186,430,759.31 = 186,430,759.31 : x
  2. Step 2: Convert to fraction form
    85,948,101/186,430,759.31 = 186,430,759.31/x
  3. Step 3: Cross multiply
    85,948,101x = 186,430,759.31 × 186,430,759.31
  4. Step 4: Simplify right side
    85,948,101x = 34,756,428,017,835,304
  5. Step 5: Solve for x
    x = 34,756,428,017,835,304/85,948,101
  6. Step 6: Final answer
    x = 404,388,550.92

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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.