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Finding the Third Proportional to 105,539,924 and 161,448,582

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Solution

The third proportional to 105,539,924 and 161,448,582 is: 246,974,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539,924 : 161,448,582 = 161,448,582 : x
  2. Step 2: Convert to fraction form
    105,539,924/161,448,582 = 161,448,582/x
  3. Step 3: Cross multiply
    105,539,924x = 161,448,582 × 161,448,582
  4. Step 4: Simplify right side
    105,539,924x = 26,065,644,629,810,724
  5. Step 5: Solve for x
    x = 26,065,644,629,810,724/105,539,924
  6. Step 6: Final answer
    x = 246,974,259.99

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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.