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Finding the Third Proportional to 50,656,848.75 and 119,462,923.13

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Solution

The third proportional to 50,656,848.75 and 119,462,923.13 is: 281,726,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656,848.75 : 119,462,923.13 = 119,462,923.13 : x
  2. Step 2: Convert to fraction form
    50,656,848.75/119,462,923.13 = 119,462,923.13/x
  3. Step 3: Cross multiply
    50,656,848.75x = 119,462,923.13 × 119,462,923.13
  4. Step 4: Simplify right side
    50,656,848.75x = 14,271,390,001,569,660
  5. Step 5: Solve for x
    x = 14,271,390,001,569,660/50,656,848.75
  6. Step 6: Final answer
    x = 281,726,762.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.