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Finding the Third Proportional to 188,062,080 and 284,937,354

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Solution

The third proportional to 188,062,080 and 284,937,354 is: 431,715,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,062,080 : 284,937,354 = 284,937,354 : x
  2. Step 2: Convert to fraction form
    188,062,080/284,937,354 = 284,937,354/x
  3. Step 3: Cross multiply
    188,062,080x = 284,937,354 × 284,937,354
  4. Step 4: Simplify right side
    188,062,080x = 81,189,295,704,521,312
  5. Step 5: Solve for x
    x = 81,189,295,704,521,312/188,062,080
  6. Step 6: Final answer
    x = 431,715,397.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.