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Finding the Third Proportional to 109,282,777 and 178,430,048

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Solution

The third proportional to 109,282,777 and 178,430,048 is: 291,329,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282,777 : 178,430,048 = 178,430,048 : x
  2. Step 2: Convert to fraction form
    109,282,777/178,430,048 = 178,430,048/x
  3. Step 3: Cross multiply
    109,282,777x = 178,430,048 × 178,430,048
  4. Step 4: Simplify right side
    109,282,777x = 31,837,282,029,282,304
  5. Step 5: Solve for x
    x = 31,837,282,029,282,304/109,282,777
  6. Step 6: Final answer
    x = 291,329,365.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.