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Finding the Third Proportional to 45,305,126 and 97,822,924

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Solution

The third proportional to 45,305,126 and 97,822,924 is: 211,219,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,305,126 : 97,822,924 = 97,822,924 : x
  2. Step 2: Convert to fraction form
    45,305,126/97,822,924 = 97,822,924/x
  3. Step 3: Cross multiply
    45,305,126x = 97,822,924 × 97,822,924
  4. Step 4: Simplify right side
    45,305,126x = 9,569,324,459,909,776
  5. Step 5: Solve for x
    x = 9,569,324,459,909,776/45,305,126
  6. Step 6: Final answer
    x = 211,219,464.66

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