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Finding the Third Proportional to 104,282,616 and 157,765,851

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Solution

The third proportional to 104,282,616 and 157,765,851 is: 238,678,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,282,616 : 157,765,851 = 157,765,851 : x
  2. Step 2: Convert to fraction form
    104,282,616/157,765,851 = 157,765,851/x
  3. Step 3: Cross multiply
    104,282,616x = 157,765,851 × 157,765,851
  4. Step 4: Simplify right side
    104,282,616x = 24,890,063,741,754,200
  5. Step 5: Solve for x
    x = 24,890,063,741,754,200/104,282,616
  6. Step 6: Final answer
    x = 238,678,935.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.