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Finding the Third Proportional to 81,197,040 and 175,069,464

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Solution

The third proportional to 81,197,040 and 175,069,464 is: 377,468,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,040 : 175,069,464 = 175,069,464 : x
  2. Step 2: Convert to fraction form
    81,197,040/175,069,464 = 175,069,464/x
  3. Step 3: Cross multiply
    81,197,040x = 175,069,464 × 175,069,464
  4. Step 4: Simplify right side
    81,197,040x = 30,649,317,225,247,296
  5. Step 5: Solve for x
    x = 30,649,317,225,247,296/81,197,040
  6. Step 6: Final answer
    x = 377,468,405.56

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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.