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Finding the Third Proportional to 77,243,766 and 160,836,972

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Solution

The third proportional to 77,243,766 and 160,836,972 is: 334,894,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243,766 : 160,836,972 = 160,836,972 : x
  2. Step 2: Convert to fraction form
    77,243,766/160,836,972 = 160,836,972/x
  3. Step 3: Cross multiply
    77,243,766x = 160,836,972 × 160,836,972
  4. Step 4: Simplify right side
    77,243,766x = 25,868,531,562,128,784
  5. Step 5: Solve for x
    x = 25,868,531,562,128,784/77,243,766
  6. Step 6: Final answer
    x = 334,894,748.17

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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.