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Finding the Third Proportional to 196,943,178.50 and 455,887,807

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Solution

The third proportional to 196,943,178.50 and 455,887,807 is: 1,055,297,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,943,178.50 : 455,887,807 = 455,887,807 : x
  2. Step 2: Convert to fraction form
    196,943,178.50/455,887,807 = 455,887,807/x
  3. Step 3: Cross multiply
    196,943,178.50x = 455,887,807 × 455,887,807
  4. Step 4: Simplify right side
    196,943,178.50x = 207,833,692,571,269,248
  5. Step 5: Solve for x
    x = 207,833,692,571,269,248/196,943,178.50
  6. Step 6: Final answer
    x = 1,055,297,747.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.