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Finding the Third Proportional to 169,187,294 and 254,901,069

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Solution

The third proportional to 169,187,294 and 254,901,069 is: 384,039,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,187,294 : 254,901,069 = 254,901,069 : x
  2. Step 2: Convert to fraction form
    169,187,294/254,901,069 = 254,901,069/x
  3. Step 3: Cross multiply
    169,187,294x = 254,901,069 × 254,901,069
  4. Step 4: Simplify right side
    169,187,294x = 64,974,554,977,342,760
  5. Step 5: Solve for x
    x = 64,974,554,977,342,760/169,187,294
  6. Step 6: Final answer
    x = 384,039,211.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.