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Finding the Third Proportional to 39,083,050.13 and 83,533,200.75

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Solution

The third proportional to 39,083,050.13 and 83,533,200.75 is: 178,537,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083,050.13 : 83,533,200.75 = 83,533,200.75 : x
  2. Step 2: Convert to fraction form
    39,083,050.13/83,533,200.75 = 83,533,200.75/x
  3. Step 3: Cross multiply
    39,083,050.13x = 83,533,200.75 × 83,533,200.75
  4. Step 4: Simplify right side
    39,083,050.13x = 6,977,795,627,539,801
  5. Step 5: Solve for x
    x = 6,977,795,627,539,801/39,083,050.13
  6. Step 6: Final answer
    x = 178,537,642.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.