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Finding the Third Proportional to 68,255,898.75 and 147,420,415.13

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Solution

The third proportional to 68,255,898.75 and 147,420,415.13 is: 318,401,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,255,898.75 : 147,420,415.13 = 147,420,415.13 : x
  2. Step 2: Convert to fraction form
    68,255,898.75/147,420,415.13 = 147,420,415.13/x
  3. Step 3: Cross multiply
    68,255,898.75x = 147,420,415.13 × 147,420,415.13
  4. Step 4: Simplify right side
    68,255,898.75x = 21,732,778,795,627,328
  5. Step 5: Solve for x
    x = 21,732,778,795,627,328/68,255,898.75
  6. Step 6: Final answer
    x = 318,401,474.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.