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Finding the Third Proportional to 48,713,242 and 106,001,977

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Solution

The third proportional to 48,713,242 and 106,001,977 is: 230,664,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,242 : 106,001,977 = 106,001,977 : x
  2. Step 2: Convert to fraction form
    48,713,242/106,001,977 = 106,001,977/x
  3. Step 3: Cross multiply
    48,713,242x = 106,001,977 × 106,001,977
  4. Step 4: Simplify right side
    48,713,242x = 11,236,419,127,908,528
  5. Step 5: Solve for x
    x = 11,236,419,127,908,528/48,713,242
  6. Step 6: Final answer
    x = 230,664,572.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.