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Finding the Third Proportional to 86,709,047 and 178,014,801

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Solution

The third proportional to 86,709,047 and 178,014,801 is: 365,466,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,709,047 : 178,014,801 = 178,014,801 : x
  2. Step 2: Convert to fraction form
    86,709,047/178,014,801 = 178,014,801/x
  3. Step 3: Cross multiply
    86,709,047x = 178,014,801 × 178,014,801
  4. Step 4: Simplify right side
    86,709,047x = 31,689,269,375,069,600
  5. Step 5: Solve for x
    x = 31,689,269,375,069,600/86,709,047
  6. Step 6: Final answer
    x = 365,466,701.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.