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Finding the Third Proportional to 75,743,085 and 163,593,036

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Solution

The third proportional to 75,743,085 and 163,593,036 is: 353,334,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743,085 : 163,593,036 = 163,593,036 : x
  2. Step 2: Convert to fraction form
    75,743,085/163,593,036 = 163,593,036/x
  3. Step 3: Cross multiply
    75,743,085x = 163,593,036 × 163,593,036
  4. Step 4: Simplify right side
    75,743,085x = 26,762,681,427,697,296
  5. Step 5: Solve for x
    x = 26,762,681,427,697,296/75,743,085
  6. Step 6: Final answer
    x = 353,334,980.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.