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Finding the Third Proportional to 96,538,965 and 211,125,702

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Solution

The third proportional to 96,538,965 and 211,125,702 is: 461,720,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,538,965 : 211,125,702 = 211,125,702 : x
  2. Step 2: Convert to fraction form
    96,538,965/211,125,702 = 211,125,702/x
  3. Step 3: Cross multiply
    96,538,965x = 211,125,702 × 211,125,702
  4. Step 4: Simplify right side
    96,538,965x = 44,574,062,044,992,800
  5. Step 5: Solve for x
    x = 44,574,062,044,992,800/96,538,965
  6. Step 6: Final answer
    x = 461,720,943.92

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