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Finding the Third Proportional to 100,657,975 and 220,156,118

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Solution

The third proportional to 100,657,975 and 220,156,118 is: 481,518,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657,975 : 220,156,118 = 220,156,118 : x
  2. Step 2: Convert to fraction form
    100,657,975/220,156,118 = 220,156,118/x
  3. Step 3: Cross multiply
    100,657,975x = 220,156,118 × 220,156,118
  4. Step 4: Simplify right side
    100,657,975x = 48,468,716,292,829,920
  5. Step 5: Solve for x
    x = 48,468,716,292,829,920/100,657,975
  6. Step 6: Final answer
    x = 481,518,889.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.