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Finding the Third Proportional to 243,107,172.75 and 532,320,678.75

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Solution

The third proportional to 243,107,172.75 and 532,320,678.75 is: 1,165,598,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,107,172.75 : 532,320,678.75 = 532,320,678.75 : x
  2. Step 2: Convert to fraction form
    243,107,172.75/532,320,678.75 = 532,320,678.75/x
  3. Step 3: Cross multiply
    243,107,172.75x = 532,320,678.75 × 532,320,678.75
  4. Step 4: Simplify right side
    243,107,172.75x = 283,365,305,024,860,704
  5. Step 5: Solve for x
    x = 283,365,305,024,860,704/243,107,172.75
  6. Step 6: Final answer
    x = 1,165,598,290.74

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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.