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Finding the Third Proportional to 201,771,082.50 and 434,487,648

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Solution

The third proportional to 201,771,082.50 and 434,487,648 is: 935,612,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771,082.50 : 434,487,648 = 434,487,648 : x
  2. Step 2: Convert to fraction form
    201,771,082.50/434,487,648 = 434,487,648/x
  3. Step 3: Cross multiply
    201,771,082.50x = 434,487,648 × 434,487,648
  4. Step 4: Simplify right side
    201,771,082.50x = 188,779,516,264,571,904
  5. Step 5: Solve for x
    x = 188,779,516,264,571,904/201,771,082.50
  6. Step 6: Final answer
    x = 935,612,348.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.