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Finding the Third Proportional to 145,419,352 and 318,202,446

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Solution

The third proportional to 145,419,352 and 318,202,446 is: 696,281,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419,352 : 318,202,446 = 318,202,446 : x
  2. Step 2: Convert to fraction form
    145,419,352/318,202,446 = 318,202,446/x
  3. Step 3: Cross multiply
    145,419,352x = 318,202,446 × 318,202,446
  4. Step 4: Simplify right side
    145,419,352x = 101,252,796,640,382,912
  5. Step 5: Solve for x
    x = 101,252,796,640,382,912/145,419,352
  6. Step 6: Final answer
    x = 696,281,445.68

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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.