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Finding the Third Proportional to 55,047,688.50 and 82,566,190.50

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Solution

The third proportional to 55,047,688.50 and 82,566,190.50 is: 123,841,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,047,688.50 : 82,566,190.50 = 82,566,190.50 : x
  2. Step 2: Convert to fraction form
    55,047,688.50/82,566,190.50 = 82,566,190.50/x
  3. Step 3: Cross multiply
    55,047,688.50x = 82,566,190.50 × 82,566,190.50
  4. Step 4: Simplify right side
    55,047,688.50x = 6,817,175,813,682,290
  5. Step 5: Solve for x
    x = 6,817,175,813,682,290/55,047,688.50
  6. Step 6: Final answer
    x = 123,841,272.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.