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Finding the Third Proportional to 68,140,086 and 105,804,585

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Solution

The third proportional to 68,140,086 and 105,804,585 is: 164,288,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140,086 : 105,804,585 = 105,804,585 : x
  2. Step 2: Convert to fraction form
    68,140,086/105,804,585 = 105,804,585/x
  3. Step 3: Cross multiply
    68,140,086x = 105,804,585 × 105,804,585
  4. Step 4: Simplify right side
    68,140,086x = 11,194,610,207,022,224
  5. Step 5: Solve for x
    x = 11,194,610,207,022,224/68,140,086
  6. Step 6: Final answer
    x = 164,288,172.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.