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Finding the Third Proportional to 181,490,016 and 278,963,154

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Solution

The third proportional to 181,490,016 and 278,963,154 is: 428,786,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,490,016 : 278,963,154 = 278,963,154 : x
  2. Step 2: Convert to fraction form
    181,490,016/278,963,154 = 278,963,154/x
  3. Step 3: Cross multiply
    181,490,016x = 278,963,154 × 278,963,154
  4. Step 4: Simplify right side
    181,490,016x = 77,820,441,289,627,712
  5. Step 5: Solve for x
    x = 77,820,441,289,627,712/181,490,016
  6. Step 6: Final answer
    x = 428,786,348.72

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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.