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Finding the Third Proportional to 48,857,710 and 107,398,543

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Solution

The third proportional to 48,857,710 and 107,398,543 is: 236,082,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,857,710 : 107,398,543 = 107,398,543 : x
  2. Step 2: Convert to fraction form
    48,857,710/107,398,543 = 107,398,543/x
  3. Step 3: Cross multiply
    48,857,710x = 107,398,543 × 107,398,543
  4. Step 4: Simplify right side
    48,857,710x = 11,534,447,038,522,848
  5. Step 5: Solve for x
    x = 11,534,447,038,522,848/48,857,710
  6. Step 6: Final answer
    x = 236,082,432.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.