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Finding the Third Proportional to 105,989,451.75 and 158,348,945.25

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Solution

The third proportional to 105,989,451.75 and 158,348,945.25 is: 236,574,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989,451.75 : 158,348,945.25 = 158,348,945.25 : x
  2. Step 2: Convert to fraction form
    105,989,451.75/158,348,945.25 = 158,348,945.25/x
  3. Step 3: Cross multiply
    105,989,451.75x = 158,348,945.25 × 158,348,945.25
  4. Step 4: Simplify right side
    105,989,451.75x = 25,074,388,461,787,496
  5. Step 5: Solve for x
    x = 25,074,388,461,787,496/105,989,451.75
  6. Step 6: Final answer
    x = 236,574,376.49

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Why These Related Problems?

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