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Finding the Third Proportional to 75,997,461 and 154,109,640

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Solution

The third proportional to 75,997,461 and 154,109,640 is: 312,507,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997,461 : 154,109,640 = 154,109,640 : x
  2. Step 2: Convert to fraction form
    75,997,461/154,109,640 = 154,109,640/x
  3. Step 3: Cross multiply
    75,997,461x = 154,109,640 × 154,109,640
  4. Step 4: Simplify right side
    75,997,461x = 23,749,781,140,929,600
  5. Step 5: Solve for x
    x = 23,749,781,140,929,600/75,997,461
  6. Step 6: Final answer
    x = 312,507,560.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.