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Finding the Third Proportional to 132,048,358,414 and 290,037,996,135

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Solution

The third proportional to 132,048,358,414 and 290,037,996,135 is: 637,054,789,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048,358,414 : 290,037,996,135 = 290,037,996,135 : x
  2. Step 2: Convert to fraction form
    132,048,358,414/290,037,996,135 = 290,037,996,135/x
  3. Step 3: Cross multiply
    132,048,358,414x = 290,037,996,135 × 290,037,996,135
  4. Step 4: Simplify right side
    132,048,358,414x = 84,122,039,202,006,280,699,904
  5. Step 5: Solve for x
    x = 84,122,039,202,006,280,699,904/132,048,358,414
  6. Step 6: Final answer
    x = 637,054,789,717.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.