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Finding the Third Proportional to 132,147,274.50 and 289,706,409

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Solution

The third proportional to 132,147,274.50 and 289,706,409 is: 635,123,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147,274.50 : 289,706,409 = 289,706,409 : x
  2. Step 2: Convert to fraction form
    132,147,274.50/289,706,409 = 289,706,409/x
  3. Step 3: Cross multiply
    132,147,274.50x = 289,706,409 × 289,706,409
  4. Step 4: Simplify right side
    132,147,274.50x = 83,929,803,415,675,280
  5. Step 5: Solve for x
    x = 83,929,803,415,675,280/132,147,274.50
  6. Step 6: Final answer
    x = 635,123,226.97

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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.