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Finding the Third Proportional to 102,635,526 and 223,340,031

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Solution

The third proportional to 102,635,526 and 223,340,031 is: 485,999,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,635,526 : 223,340,031 = 223,340,031 : x
  2. Step 2: Convert to fraction form
    102,635,526/223,340,031 = 223,340,031/x
  3. Step 3: Cross multiply
    102,635,526x = 223,340,031 × 223,340,031
  4. Step 4: Simplify right side
    102,635,526x = 49,880,769,447,080,960
  5. Step 5: Solve for x
    x = 49,880,769,447,080,960/102,635,526
  6. Step 6: Final answer
    x = 485,999,062.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.