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Finding the Third Proportional to 196,943,206 and 455,887,870

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Solution

The third proportional to 196,943,206 and 455,887,870 is: 1,055,297,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,943,206 : 455,887,870 = 455,887,870 : x
  2. Step 2: Convert to fraction form
    196,943,206/455,887,870 = 455,887,870/x
  3. Step 3: Cross multiply
    196,943,206x = 455,887,870 × 455,887,870
  4. Step 4: Simplify right side
    196,943,206x = 207,833,750,013,136,896
  5. Step 5: Solve for x
    x = 207,833,750,013,136,896/196,943,206
  6. Step 6: Final answer
    x = 1,055,297,891.38

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