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Finding the Third Proportional to 86,453,317.50 and 186,710,280.50

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Solution

The third proportional to 86,453,317.50 and 186,710,280.50 is: 403,231,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,453,317.50 : 186,710,280.50 = 186,710,280.50 : x
  2. Step 2: Convert to fraction form
    86,453,317.50/186,710,280.50 = 186,710,280.50/x
  3. Step 3: Cross multiply
    86,453,317.50x = 186,710,280.50 × 186,710,280.50
  4. Step 4: Simplify right side
    86,453,317.50x = 34,860,728,844,388,680
  5. Step 5: Solve for x
    x = 34,860,728,844,388,680/86,453,317.50
  6. Step 6: Final answer
    x = 403,231,823.28

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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.