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Finding the Third Proportional to 48,507,934.50 and 105,202,688.50

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Solution

The third proportional to 48,507,934.50 and 105,202,688.50 is: 228,160,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,507,934.50 : 105,202,688.50 = 105,202,688.50 : x
  2. Step 2: Convert to fraction form
    48,507,934.50/105,202,688.50 = 105,202,688.50/x
  3. Step 3: Cross multiply
    48,507,934.50x = 105,202,688.50 × 105,202,688.50
  4. Step 4: Simplify right side
    48,507,934.50x = 11,067,605,667,628,032
  5. Step 5: Solve for x
    x = 11,067,605,667,628,032/48,507,934.50
  6. Step 6: Final answer
    x = 228,160,728.38

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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.