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Finding the Third Proportional to 124,109,035 and 199,972,717

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Solution

The third proportional to 124,109,035 and 199,972,717 is: 322,209,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,109,035 : 199,972,717 = 199,972,717 : x
  2. Step 2: Convert to fraction form
    124,109,035/199,972,717 = 199,972,717/x
  3. Step 3: Cross multiply
    124,109,035x = 199,972,717 × 199,972,717
  4. Step 4: Simplify right side
    124,109,035x = 39,989,087,544,362,088
  5. Step 5: Solve for x
    x = 39,989,087,544,362,088/124,109,035
  6. Step 6: Final answer
    x = 322,209,318.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.