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Finding the Third Proportional to 77,292,476 and 166,690,960

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Solution

The third proportional to 77,292,476 and 166,690,960 is: 359,490,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292,476 : 166,690,960 = 166,690,960 : x
  2. Step 2: Convert to fraction form
    77,292,476/166,690,960 = 166,690,960/x
  3. Step 3: Cross multiply
    77,292,476x = 166,690,960 × 166,690,960
  4. Step 4: Simplify right side
    77,292,476x = 27,785,876,145,721,600
  5. Step 5: Solve for x
    x = 27,785,876,145,721,600/77,292,476
  6. Step 6: Final answer
    x = 359,490,051.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.