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Finding the Third Proportional to 105,539,970 and 161,448,657

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Solution

The third proportional to 105,539,970 and 161,448,657 is: 246,974,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539,970 : 161,448,657 = 161,448,657 : x
  2. Step 2: Convert to fraction form
    105,539,970/161,448,657 = 161,448,657/x
  3. Step 3: Cross multiply
    105,539,970x = 161,448,657 × 161,448,657
  4. Step 4: Simplify right side
    105,539,970x = 26,065,668,847,103,648
  5. Step 5: Solve for x
    x = 26,065,668,847,103,648/105,539,970
  6. Step 6: Final answer
    x = 246,974,381.81

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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.