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Finding the Third Proportional to 123,054,314.06 and 190,476,833.34

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Solution

The third proportional to 123,054,314.06 and 190,476,833.34 is: 294,840,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,054,314.06 : 190,476,833.34 = 190,476,833.34 : x
  2. Step 2: Convert to fraction form
    123,054,314.06/190,476,833.34 = 190,476,833.34/x
  3. Step 3: Cross multiply
    123,054,314.06x = 190,476,833.34 × 190,476,833.34
  4. Step 4: Simplify right side
    123,054,314.06x = 36,281,424,040,662,712
  5. Step 5: Solve for x
    x = 36,281,424,040,662,712/123,054,314.06
  6. Step 6: Final answer
    x = 294,840,732.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.