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Finding the Third Proportional to 107,578,388 and 161,477,744

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Solution

The third proportional to 107,578,388 and 161,477,744 is: 242,381,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,578,388 : 161,477,744 = 161,477,744 : x
  2. Step 2: Convert to fraction form
    107,578,388/161,477,744 = 161,477,744/x
  3. Step 3: Cross multiply
    107,578,388x = 161,477,744 × 161,477,744
  4. Step 4: Simplify right side
    107,578,388x = 26,075,061,807,329,536
  5. Step 5: Solve for x
    x = 26,075,061,807,329,536/107,578,388
  6. Step 6: Final answer
    x = 242,381,971.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.