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Finding the Third Proportional to 78,223,317.47 and 170,052,893.12

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Solution

The third proportional to 78,223,317.47 and 170,052,893.12 is: 369,684,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223,317.47 : 170,052,893.12 = 170,052,893.12 : x
  2. Step 2: Convert to fraction form
    78,223,317.47/170,052,893.12 = 170,052,893.12/x
  3. Step 3: Cross multiply
    78,223,317.47x = 170,052,893.12 × 170,052,893.12
  4. Step 4: Simplify right side
    78,223,317.47x = 28,917,986,458,856,264
  5. Step 5: Solve for x
    x = 28,917,986,458,856,264/78,223,317.47
  6. Step 6: Final answer
    x = 369,684,991.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.