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Finding the Third Proportional to 77,243,771 and 160,836,982

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Solution

The third proportional to 77,243,771 and 160,836,982 is: 334,894,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243,771 : 160,836,982 = 160,836,982 : x
  2. Step 2: Convert to fraction form
    77,243,771/160,836,982 = 160,836,982/x
  3. Step 3: Cross multiply
    77,243,771x = 160,836,982 × 160,836,982
  4. Step 4: Simplify right side
    77,243,771x = 25,868,534,778,868,324
  5. Step 5: Solve for x
    x = 25,868,534,778,868,324/77,243,771
  6. Step 6: Final answer
    x = 334,894,768.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.