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Finding the Third Proportional to 48,882,710 and 106,172,982

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Solution

The third proportional to 48,882,710 and 106,172,982 is: 230,607,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882,710 : 106,172,982 = 106,172,982 : x
  2. Step 2: Convert to fraction form
    48,882,710/106,172,982 = 106,172,982/x
  3. Step 3: Cross multiply
    48,882,710x = 106,172,982 × 106,172,982
  4. Step 4: Simplify right side
    48,882,710x = 11,272,702,106,772,324
  5. Step 5: Solve for x
    x = 11,272,702,106,772,324/48,882,710
  6. Step 6: Final answer
    x = 230,607,143.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.