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Finding the Third Proportional to 97,669,269 and 151,163,037

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Solution

The third proportional to 97,669,269 and 151,163,037 is: 233,955,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,669,269 : 151,163,037 = 151,163,037 : x
  2. Step 2: Convert to fraction form
    97,669,269/151,163,037 = 151,163,037/x
  3. Step 3: Cross multiply
    97,669,269x = 151,163,037 × 151,163,037
  4. Step 4: Simplify right side
    97,669,269x = 22,850,263,755,063,368
  5. Step 5: Solve for x
    x = 22,850,263,755,063,368/97,669,269
  6. Step 6: Final answer
    x = 233,955,511.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.