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Finding the Third Proportional to 123,620,166 and 257,413,260

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Solution

The third proportional to 123,620,166 and 257,413,260 is: 536,009,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,620,166 : 257,413,260 = 257,413,260 : x
  2. Step 2: Convert to fraction form
    123,620,166/257,413,260 = 257,413,260/x
  3. Step 3: Cross multiply
    123,620,166x = 257,413,260 × 257,413,260
  4. Step 4: Simplify right side
    123,620,166x = 66,261,586,423,827,600
  5. Step 5: Solve for x
    x = 66,261,586,423,827,600/123,620,166
  6. Step 6: Final answer
    x = 536,009,524.72

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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.