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Finding the Third Proportional to 97,510,028 and 202,578,280

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Solution

The third proportional to 97,510,028 and 202,578,280 is: 420,858,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510,028 : 202,578,280 = 202,578,280 : x
  2. Step 2: Convert to fraction form
    97,510,028/202,578,280 = 202,578,280/x
  3. Step 3: Cross multiply
    97,510,028x = 202,578,280 × 202,578,280
  4. Step 4: Simplify right side
    97,510,028x = 41,037,959,527,758,400
  5. Step 5: Solve for x
    x = 41,037,959,527,758,400/97,510,028
  6. Step 6: Final answer
    x = 420,858,863.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.