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Finding the Third Proportional to 76,648,061.25 and 168,135,343.50

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Solution

The third proportional to 76,648,061.25 and 168,135,343.50 is: 368,822,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648,061.25 : 168,135,343.50 = 168,135,343.50 : x
  2. Step 2: Convert to fraction form
    76,648,061.25/168,135,343.50 = 168,135,343.50/x
  3. Step 3: Cross multiply
    76,648,061.25x = 168,135,343.50 × 168,135,343.50
  4. Step 4: Simplify right side
    76,648,061.25x = 28,269,493,733,862,992
  5. Step 5: Solve for x
    x = 28,269,493,733,862,992/76,648,061.25
  6. Step 6: Final answer
    x = 368,822,032.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.