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Finding the Third Proportional to 145,419,384 and 318,202,511

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Solution

The third proportional to 145,419,384 and 318,202,511 is: 696,281,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419,384 : 318,202,511 = 318,202,511 : x
  2. Step 2: Convert to fraction form
    145,419,384/318,202,511 = 318,202,511/x
  3. Step 3: Cross multiply
    145,419,384x = 318,202,511 × 318,202,511
  4. Step 4: Simplify right side
    145,419,384x = 101,252,838,006,705,120
  5. Step 5: Solve for x
    x = 101,252,838,006,705,120/145,419,384
  6. Step 6: Final answer
    x = 696,281,576.92

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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.