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Finding the Third Proportional to 68,768,645 and 102,880,657

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Solution

The third proportional to 68,768,645 and 102,880,657 is: 153,913,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,768,645 : 102,880,657 = 102,880,657 : x
  2. Step 2: Convert to fraction form
    68,768,645/102,880,657 = 102,880,657/x
  3. Step 3: Cross multiply
    68,768,645x = 102,880,657 × 102,880,657
  4. Step 4: Simplify right side
    68,768,645x = 10,584,429,584,751,648
  5. Step 5: Solve for x
    x = 10,584,429,584,751,648/68,768,645
  6. Step 6: Final answer
    x = 153,913,598.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.