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Finding the Third Proportional to 140,835,396 and 302,495,448

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Solution

The third proportional to 140,835,396 and 302,495,448 is: 649,719,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,835,396 : 302,495,448 = 302,495,448 : x
  2. Step 2: Convert to fraction form
    140,835,396/302,495,448 = 302,495,448/x
  3. Step 3: Cross multiply
    140,835,396x = 302,495,448 × 302,495,448
  4. Step 4: Simplify right side
    140,835,396x = 91,503,496,060,720,704
  5. Step 5: Solve for x
    x = 91,503,496,060,720,704/140,835,396
  6. Step 6: Final answer
    x = 649,719,450.22

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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.