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Finding the Third Proportional to 81,807,468.75 and 181,775,036.25

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Solution

The third proportional to 81,807,468.75 and 181,775,036.25 is: 403,901,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807,468.75 : 181,775,036.25 = 181,775,036.25 : x
  2. Step 2: Convert to fraction form
    81,807,468.75/181,775,036.25 = 181,775,036.25/x
  3. Step 3: Cross multiply
    81,807,468.75x = 181,775,036.25 × 181,775,036.25
  4. Step 4: Simplify right side
    81,807,468.75x = 33,042,163,803,688,816
  5. Step 5: Solve for x
    x = 33,042,163,803,688,816/81,807,468.75
  6. Step 6: Final answer
    x = 403,901,554.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.