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Finding the Third Proportional to 123,616,926 and 257,407,000

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Solution

The third proportional to 123,616,926 and 257,407,000 is: 535,997,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,616,926 : 257,407,000 = 257,407,000 : x
  2. Step 2: Convert to fraction form
    123,616,926/257,407,000 = 257,407,000/x
  3. Step 3: Cross multiply
    123,616,926x = 257,407,000 × 257,407,000
  4. Step 4: Simplify right side
    123,616,926x = 66,258,363,649,000,000
  5. Step 5: Solve for x
    x = 66,258,363,649,000,000/123,616,926
  6. Step 6: Final answer
    x = 535,997,502.87

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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.