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Finding the Third Proportional to 124,509,612 and 186,078,177

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Solution

The third proportional to 124,509,612 and 186,078,177 is: 278,091,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,509,612 : 186,078,177 = 186,078,177 : x
  2. Step 2: Convert to fraction form
    124,509,612/186,078,177 = 186,078,177/x
  3. Step 3: Cross multiply
    124,509,612x = 186,078,177 × 186,078,177
  4. Step 4: Simplify right side
    124,509,612x = 34,625,087,955,643,328
  5. Step 5: Solve for x
    x = 34,625,087,955,643,328/124,509,612
  6. Step 6: Final answer
    x = 278,091,686.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.