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Finding the Third Proportional to 132,051,098 and 289,611,328

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Solution

The third proportional to 132,051,098 and 289,611,328 is: 635,168,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051,098 : 289,611,328 = 289,611,328 : x
  2. Step 2: Convert to fraction form
    132,051,098/289,611,328 = 289,611,328/x
  3. Step 3: Cross multiply
    132,051,098x = 289,611,328 × 289,611,328
  4. Step 4: Simplify right side
    132,051,098x = 83,874,721,305,923,584
  5. Step 5: Solve for x
    x = 83,874,721,305,923,584/132,051,098
  6. Step 6: Final answer
    x = 635,168,677.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.