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Finding the Third Proportional to 127,683,760 and 198,112,722

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Solution

The third proportional to 127,683,760 and 198,112,722 is: 307,389,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,683,760 : 198,112,722 = 198,112,722 : x
  2. Step 2: Convert to fraction form
    127,683,760/198,112,722 = 198,112,722/x
  3. Step 3: Cross multiply
    127,683,760x = 198,112,722 × 198,112,722
  4. Step 4: Simplify right side
    127,683,760x = 39,248,650,618,249,280
  5. Step 5: Solve for x
    x = 39,248,650,618,249,280/127,683,760
  6. Step 6: Final answer
    x = 307,389,527.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.