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Finding the Third Proportional to 54,140,524.88 and 112,742,502.75

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Solution

The third proportional to 54,140,524.88 and 112,742,502.75 is: 234,775,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140,524.88 : 112,742,502.75 = 112,742,502.75 : x
  2. Step 2: Convert to fraction form
    54,140,524.88/112,742,502.75 = 112,742,502.75/x
  3. Step 3: Cross multiply
    54,140,524.88x = 112,742,502.75 × 112,742,502.75
  4. Step 4: Simplify right side
    54,140,524.88x = 12,710,871,926,333,758
  5. Step 5: Solve for x
    x = 12,710,871,926,333,758/54,140,524.88
  6. Step 6: Final answer
    x = 234,775,557.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.