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Finding the Third Proportional to 181,489,356 and 278,962,146

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Solution

The third proportional to 181,489,356 and 278,962,146 is: 428,784,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,489,356 : 278,962,146 = 278,962,146 : x
  2. Step 2: Convert to fraction form
    181,489,356/278,962,146 = 278,962,146/x
  3. Step 3: Cross multiply
    181,489,356x = 278,962,146 × 278,962,146
  4. Step 4: Simplify right side
    181,489,356x = 77,819,878,900,925,312
  5. Step 5: Solve for x
    x = 77,819,878,900,925,312/181,489,356
  6. Step 6: Final answer
    x = 428,784,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.