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Finding the Third Proportional to 76,648,011.75 and 168,135,242.06

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Solution

The third proportional to 76,648,011.75 and 168,135,242.06 is: 368,821,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648,011.75 : 168,135,242.06 = 168,135,242.06 : x
  2. Step 2: Convert to fraction form
    76,648,011.75/168,135,242.06 = 168,135,242.06/x
  3. Step 3: Cross multiply
    76,648,011.75x = 168,135,242.06 × 168,135,242.06
  4. Step 4: Simplify right side
    76,648,011.75x = 28,269,459,623,415,468
  5. Step 5: Solve for x
    x = 28,269,459,623,415,468/76,648,011.75
  6. Step 6: Final answer
    x = 368,821,825.62

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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.