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Finding the Third Proportional to 86,723,635.50 and 187,736,946.75

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Solution

The third proportional to 86,723,635.50 and 187,736,946.75 is: 406,407,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,723,635.50 : 187,736,946.75 = 187,736,946.75 : x
  2. Step 2: Convert to fraction form
    86,723,635.50/187,736,946.75 = 187,736,946.75/x
  3. Step 3: Cross multiply
    86,723,635.50x = 187,736,946.75 × 187,736,946.75
  4. Step 4: Simplify right side
    86,723,635.50x = 35,245,161,175,012,336
  5. Step 5: Solve for x
    x = 35,245,161,175,012,336/86,723,635.50
  6. Step 6: Final answer
    x = 406,407,791.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.