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Finding the Third Proportional to 77,638,141 and 166,182,396

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Solution

The third proportional to 77,638,141 and 166,182,396 is: 355,709,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638,141 : 166,182,396 = 166,182,396 : x
  2. Step 2: Convert to fraction form
    77,638,141/166,182,396 = 166,182,396/x
  3. Step 3: Cross multiply
    77,638,141x = 166,182,396 × 166,182,396
  4. Step 4: Simplify right side
    77,638,141x = 27,616,588,740,300,816
  5. Step 5: Solve for x
    x = 27,616,588,740,300,816/77,638,141
  6. Step 6: Final answer
    x = 355,709,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.