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Finding the Third Proportional to 143,462,340 and 297,132,705

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Solution

The third proportional to 143,462,340 and 297,132,705 is: 615,407,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,462,340 : 297,132,705 = 297,132,705 : x
  2. Step 2: Convert to fraction form
    143,462,340/297,132,705 = 297,132,705/x
  3. Step 3: Cross multiply
    143,462,340x = 297,132,705 × 297,132,705
  4. Step 4: Simplify right side
    143,462,340x = 88,287,844,380,617,024
  5. Step 5: Solve for x
    x = 88,287,844,380,617,024/143,462,340
  6. Step 6: Final answer
    x = 615,407,809.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.