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Finding the Third Proportional to 127,683,758 and 198,112,719

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Solution

The third proportional to 127,683,758 and 198,112,719 is: 307,389,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,683,758 : 198,112,719 = 198,112,719 : x
  2. Step 2: Convert to fraction form
    127,683,758/198,112,719 = 198,112,719/x
  3. Step 3: Cross multiply
    127,683,758x = 198,112,719 × 198,112,719
  4. Step 4: Simplify right side
    127,683,758x = 39,248,649,429,572,960
  5. Step 5: Solve for x
    x = 39,248,649,429,572,960/127,683,758
  6. Step 6: Final answer
    x = 307,389,522.71

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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.