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Finding the Third Proportional to 85,948,117.88 and 186,430,793.06

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Solution

The third proportional to 85,948,117.88 and 186,430,793.06 is: 404,388,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,948,117.88 : 186,430,793.06 = 186,430,793.06 : x
  2. Step 2: Convert to fraction form
    85,948,117.88/186,430,793.06 = 186,430,793.06/x
  3. Step 3: Cross multiply
    85,948,117.88x = 186,430,793.06 × 186,430,793.06
  4. Step 4: Simplify right side
    85,948,117.88x = 34,756,440,601,912,700
  5. Step 5: Solve for x
    x = 34,756,440,601,912,700/85,948,117.88
  6. Step 6: Final answer
    x = 404,388,617.94

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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.