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Finding the Third Proportional to 105,179,782.50 and 157,180,992.75

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Solution

The third proportional to 105,179,782.50 and 157,180,992.75 is: 234,891,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,179,782.50 : 157,180,992.75 = 157,180,992.75 : x
  2. Step 2: Convert to fraction form
    105,179,782.50/157,180,992.75 = 157,180,992.75/x
  3. Step 3: Cross multiply
    105,179,782.50x = 157,180,992.75 × 157,180,992.75
  4. Step 4: Simplify right side
    105,179,782.50x = 24,705,864,481,875,552
  5. Step 5: Solve for x
    x = 24,705,864,481,875,552/105,179,782.50
  6. Step 6: Final answer
    x = 234,891,762.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.