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Finding the Third Proportional to 100,657,973 and 220,156,114

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Solution

The third proportional to 100,657,973 and 220,156,114 is: 481,518,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657,973 : 220,156,114 = 220,156,114 : x
  2. Step 2: Convert to fraction form
    100,657,973/220,156,114 = 220,156,114/x
  3. Step 3: Cross multiply
    100,657,973x = 220,156,114 × 220,156,114
  4. Step 4: Simplify right side
    100,657,973x = 48,468,714,531,580,992
  5. Step 5: Solve for x
    x = 48,468,714,531,580,992/100,657,973
  6. Step 6: Final answer
    x = 481,518,881.09

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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.