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Finding the Third Proportional to 97,406,268 and 202,872,732

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Solution

The third proportional to 97,406,268 and 202,872,732 is: 422,532,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406,268 : 202,872,732 = 202,872,732 : x
  2. Step 2: Convert to fraction form
    97,406,268/202,872,732 = 202,872,732/x
  3. Step 3: Cross multiply
    97,406,268x = 202,872,732 × 202,872,732
  4. Step 4: Simplify right side
    97,406,268x = 41,157,345,389,143,824
  5. Step 5: Solve for x
    x = 41,157,345,389,143,824/97,406,268
  6. Step 6: Final answer
    x = 422,532,822.93

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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.