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Finding the Third Proportional to 97,939,917 and 213,784,803

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Solution

The third proportional to 97,939,917 and 213,784,803 is: 466,652,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,939,917 : 213,784,803 = 213,784,803 : x
  2. Step 2: Convert to fraction form
    97,939,917/213,784,803 = 213,784,803/x
  3. Step 3: Cross multiply
    97,939,917x = 213,784,803 × 213,784,803
  4. Step 4: Simplify right side
    97,939,917x = 45,703,941,993,748,808
  5. Step 5: Solve for x
    x = 45,703,941,993,748,808/97,939,917
  6. Step 6: Final answer
    x = 466,652,856.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.