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Finding the Third Proportional to 56,781,855 and 123,528,226.50

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Solution

The third proportional to 56,781,855 and 123,528,226.50 is: 268,734,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781,855 : 123,528,226.50 = 123,528,226.50 : x
  2. Step 2: Convert to fraction form
    56,781,855/123,528,226.50 = 123,528,226.50/x
  3. Step 3: Cross multiply
    56,781,855x = 123,528,226.50 × 123,528,226.50
  4. Step 4: Simplify right side
    56,781,855x = 15,259,222,742,235,302
  5. Step 5: Solve for x
    x = 15,259,222,742,235,302/56,781,855
  6. Step 6: Final answer
    x = 268,734,135.97

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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.