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Finding the Third Proportional to 105,539,922 and 161,448,579

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Solution

The third proportional to 105,539,922 and 161,448,579 is: 246,974,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539,922 : 161,448,579 = 161,448,579 : x
  2. Step 2: Convert to fraction form
    105,539,922/161,448,579 = 161,448,579/x
  3. Step 3: Cross multiply
    105,539,922x = 161,448,579 × 161,448,579
  4. Step 4: Simplify right side
    105,539,922x = 26,065,643,661,119,240
  5. Step 5: Solve for x
    x = 26,065,643,661,119,240/105,539,922
  6. Step 6: Final answer
    x = 246,974,255.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.